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Finding the Fourth Proportional to 503.70, 693.20 and 457.13

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Solution

The fourth proportional to 503.70, 693.20 and 457.13 is: 629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.70 : 693.20 = 457.13 : x
  2. Step 2: Convert to fraction form
    503.70/693.20 = 457.13/x
  3. Step 3: Cross multiply
    503.70x = 693.20 × 457.13
  4. Step 4: Simplify right side
    503.70x = 316,882.52
  5. Step 5: Solve for x
    x = 316,882.52/503.70
  6. Step 6: Final answer
    x = 629.11

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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.