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Finding the Fourth Proportional to 615.83, 922.39 and 477.79

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Solution

The fourth proportional to 615.83, 922.39 and 477.79 is: 715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.83 : 922.39 = 477.79 : x
  2. Step 2: Convert to fraction form
    615.83/922.39 = 477.79/x
  3. Step 3: Cross multiply
    615.83x = 922.39 × 477.79
  4. Step 4: Simplify right side
    615.83x = 440,705.22
  5. Step 5: Solve for x
    x = 440,705.22/615.83
  6. Step 6: Final answer
    x = 715.63

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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.