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Finding the Fourth Proportional to 529.76, 730.67 and 424.73

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Solution

The fourth proportional to 529.76, 730.67 and 424.73 is: 585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 730.67 = 424.73 : x
  2. Step 2: Convert to fraction form
    529.76/730.67 = 424.73/x
  3. Step 3: Cross multiply
    529.76x = 730.67 × 424.73
  4. Step 4: Simplify right side
    529.76x = 310,331.69
  5. Step 5: Solve for x
    x = 310,331.69/529.76
  6. Step 6: Final answer
    x = 585.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.