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Finding the Fourth Proportional to 584.73, 807.08 and 385.47

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Solution

The fourth proportional to 584.73, 807.08 and 385.47 is: 532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.73 : 807.08 = 385.47 : x
  2. Step 2: Convert to fraction form
    584.73/807.08 = 385.47/x
  3. Step 3: Cross multiply
    584.73x = 807.08 × 385.47
  4. Step 4: Simplify right side
    584.73x = 311,103.20
  5. Step 5: Solve for x
    x = 311,103.20/584.73
  6. Step 6: Final answer
    x = 532.05

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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.