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Finding the Fourth Proportional to 614.40, 921.60 and 542.40

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Solution

The fourth proportional to 614.40, 921.60 and 542.40 is: 813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.40 : 921.60 = 542.40 : x
  2. Step 2: Convert to fraction form
    614.40/921.60 = 542.40/x
  3. Step 3: Cross multiply
    614.40x = 921.60 × 542.40
  4. Step 4: Simplify right side
    614.40x = 499,875.84
  5. Step 5: Solve for x
    x = 499,875.84/614.40
  6. Step 6: Final answer
    x = 813.60

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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.