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Finding the Fourth Proportional to 384.72, 577.14 and 124.74

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Solution

The fourth proportional to 384.72, 577.14 and 124.74 is: 187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.72 : 577.14 = 124.74 : x
  2. Step 2: Convert to fraction form
    384.72/577.14 = 124.74/x
  3. Step 3: Cross multiply
    384.72x = 577.14 × 124.74
  4. Step 4: Simplify right side
    384.72x = 71,992.44
  5. Step 5: Solve for x
    x = 71,992.44/384.72
  6. Step 6: Final answer
    x = 187.13

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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.