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Finding the Fourth Proportional to 384.60, 577.14 and 240.40

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Solution

The fourth proportional to 384.60, 577.14 and 240.40 is: 360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.60 : 577.14 = 240.40 : x
  2. Step 2: Convert to fraction form
    384.60/577.14 = 240.40/x
  3. Step 3: Cross multiply
    384.60x = 577.14 × 240.40
  4. Step 4: Simplify right side
    384.60x = 138,744.46
  5. Step 5: Solve for x
    x = 138,744.46/384.60
  6. Step 6: Final answer
    x = 360.75

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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.