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Finding the Fourth Proportional to 384.81, 577.25 and 124.83

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Solution

The fourth proportional to 384.81, 577.25 and 124.83 is: 187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.81 : 577.25 = 124.83 : x
  2. Step 2: Convert to fraction form
    384.81/577.25 = 124.83/x
  3. Step 3: Cross multiply
    384.81x = 577.25 × 124.83
  4. Step 4: Simplify right side
    384.81x = 72,057.49
  5. Step 5: Solve for x
    x = 72,057.49/384.81
  6. Step 6: Final answer
    x = 187.25

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Why These Related Problems?

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