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Finding the Fourth Proportional to 514.92, 710.19 and 315.53

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Solution

The fourth proportional to 514.92, 710.19 and 315.53 is: 435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 710.19 = 315.53 : x
  2. Step 2: Convert to fraction form
    514.92/710.19 = 315.53/x
  3. Step 3: Cross multiply
    514.92x = 710.19 × 315.53
  4. Step 4: Simplify right side
    514.92x = 224,081.12
  5. Step 5: Solve for x
    x = 224,081.12/514.92
  6. Step 6: Final answer
    x = 435.18

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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.