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Finding the Fourth Proportional to 503.62, 695.17 and 317.10

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Solution

The fourth proportional to 503.62, 695.17 and 317.10 is: 437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.62 : 695.17 = 317.10 : x
  2. Step 2: Convert to fraction form
    503.62/695.17 = 317.10/x
  3. Step 3: Cross multiply
    503.62x = 695.17 × 317.10
  4. Step 4: Simplify right side
    503.62x = 220,438.39
  5. Step 5: Solve for x
    x = 220,438.39/503.62
  6. Step 6: Final answer
    x = 437.71

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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.