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Finding the Fourth Proportional to 584.92, 807.13 and 336.19

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Solution

The fourth proportional to 584.92, 807.13 and 336.19 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 807.13 = 336.19 : x
  2. Step 2: Convert to fraction form
    584.92/807.13 = 336.19/x
  3. Step 3: Cross multiply
    584.92x = 807.13 × 336.19
  4. Step 4: Simplify right side
    584.92x = 271,351.22
  5. Step 5: Solve for x
    x = 271,351.22/584.92
  6. Step 6: Final answer
    x = 463.91

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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.