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Finding the Fourth Proportional to 654.60, 902.70 and 467.76

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Solution

The fourth proportional to 654.60, 902.70 and 467.76 is: 645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.60 : 902.70 = 467.76 : x
  2. Step 2: Convert to fraction form
    654.60/902.70 = 467.76/x
  3. Step 3: Cross multiply
    654.60x = 902.70 × 467.76
  4. Step 4: Simplify right side
    654.60x = 422,246.95
  5. Step 5: Solve for x
    x = 422,246.95/654.60
  6. Step 6: Final answer
    x = 645.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.