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Finding the Fourth Proportional to 503.36, 695.20 and 424.96

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Solution

The fourth proportional to 503.36, 695.20 and 424.96 is: 586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.36 : 695.20 = 424.96 : x
  2. Step 2: Convert to fraction form
    503.36/695.20 = 424.96/x
  3. Step 3: Cross multiply
    503.36x = 695.20 × 424.96
  4. Step 4: Simplify right side
    503.36x = 295,432.19
  5. Step 5: Solve for x
    x = 295,432.19/503.36
  6. Step 6: Final answer
    x = 586.92

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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.