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Finding the Fourth Proportional to 614.60, 922.80 and 477.80

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Solution

The fourth proportional to 614.60, 922.80 and 477.80 is: 717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.60 : 922.80 = 477.80 : x
  2. Step 2: Convert to fraction form
    614.60/922.80 = 477.80/x
  3. Step 3: Cross multiply
    614.60x = 922.80 × 477.80
  4. Step 4: Simplify right side
    614.60x = 440,913.84
  5. Step 5: Solve for x
    x = 440,913.84/614.60
  6. Step 6: Final answer
    x = 717.40

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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.