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Finding the Fourth Proportional to 657.60, 987.66 and 384.24

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Solution

The fourth proportional to 657.60, 987.66 and 384.24 is: 577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 987.66 = 384.24 : x
  2. Step 2: Convert to fraction form
    657.60/987.66 = 384.24/x
  3. Step 3: Cross multiply
    657.60x = 987.66 × 384.24
  4. Step 4: Simplify right side
    657.60x = 379,498.48
  5. Step 5: Solve for x
    x = 379,498.48/657.60
  6. Step 6: Final answer
    x = 577.10

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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.