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Finding the Fourth Proportional to 511.58, 706.12 and 334.76

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Solution

The fourth proportional to 511.58, 706.12 and 334.76 is: 462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.58 : 706.12 = 334.76 : x
  2. Step 2: Convert to fraction form
    511.58/706.12 = 334.76/x
  3. Step 3: Cross multiply
    511.58x = 706.12 × 334.76
  4. Step 4: Simplify right side
    511.58x = 236,380.73
  5. Step 5: Solve for x
    x = 236,380.73/511.58
  6. Step 6: Final answer
    x = 462.06

Related Problems

Find fourth proportional to 255.79, 353.06 and 167.38
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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.