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Finding the Fourth Proportional to 511.34, 705.02 and 363.86

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Solution

The fourth proportional to 511.34, 705.02 and 363.86 is: 501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.34 : 705.02 = 363.86 : x
  2. Step 2: Convert to fraction form
    511.34/705.02 = 363.86/x
  3. Step 3: Cross multiply
    511.34x = 705.02 × 363.86
  4. Step 4: Simplify right side
    511.34x = 256,528.58
  5. Step 5: Solve for x
    x = 256,528.58/511.34
  6. Step 6: Final answer
    x = 501.68

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Double scale
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1.5x scale

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.