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Finding the Fourth Proportional to 524.71, 724.29 and 303.85

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Solution

The fourth proportional to 524.71, 724.29 and 303.85 is: 419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.71 : 724.29 = 303.85 : x
  2. Step 2: Convert to fraction form
    524.71/724.29 = 303.85/x
  3. Step 3: Cross multiply
    524.71x = 724.29 × 303.85
  4. Step 4: Simplify right side
    524.71x = 220,071.90
  5. Step 5: Solve for x
    x = 220,071.90/524.71
  6. Step 6: Final answer
    x = 419.42

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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.