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Finding the Fourth Proportional to 487.16, 731.31 and 384.51

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Solution

The fourth proportional to 487.16, 731.31 and 384.51 is: 577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.16 : 731.31 = 384.51 : x
  2. Step 2: Convert to fraction form
    487.16/731.31 = 384.51/x
  3. Step 3: Cross multiply
    487.16x = 731.31 × 384.51
  4. Step 4: Simplify right side
    487.16x = 281,194.57
  5. Step 5: Solve for x
    x = 281,194.57/487.16
  6. Step 6: Final answer
    x = 577.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.