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Finding the Fourth Proportional to 424.86, 584.80 and 314.15

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Solution

The fourth proportional to 424.86, 584.80 and 314.15 is: 432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.86 : 584.80 = 314.15 : x
  2. Step 2: Convert to fraction form
    424.86/584.80 = 314.15/x
  3. Step 3: Cross multiply
    424.86x = 584.80 × 314.15
  4. Step 4: Simplify right side
    424.86x = 183,712.98
  5. Step 5: Solve for x
    x = 183,712.98/424.86
  6. Step 6: Final answer
    x = 432.41

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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.