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Finding the Fourth Proportional to 615.74, 922.73 and 478.13

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Solution

The fourth proportional to 615.74, 922.73 and 478.13 is: 716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.74 : 922.73 = 478.13 : x
  2. Step 2: Convert to fraction form
    615.74/922.73 = 478.13/x
  3. Step 3: Cross multiply
    615.74x = 922.73 × 478.13
  4. Step 4: Simplify right side
    615.74x = 441,177.89
  5. Step 5: Solve for x
    x = 441,177.89/615.74
  6. Step 6: Final answer
    x = 716.51

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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.