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Finding the Fourth Proportional to 511.64, 706.14 and 337.34

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Solution

The fourth proportional to 511.64, 706.14 and 337.34 is: 465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.64 : 706.14 = 337.34 : x
  2. Step 2: Convert to fraction form
    511.64/706.14 = 337.34/x
  3. Step 3: Cross multiply
    511.64x = 706.14 × 337.34
  4. Step 4: Simplify right side
    511.64x = 238,209.27
  5. Step 5: Solve for x
    x = 238,209.27/511.64
  6. Step 6: Final answer
    x = 465.58

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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.