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Finding the Fourth Proportional to 473.60, 711.54 and 460.91

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Solution

The fourth proportional to 473.60, 711.54 and 460.91 is: 692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.60 : 711.54 = 460.91 : x
  2. Step 2: Convert to fraction form
    473.60/711.54 = 460.91/x
  3. Step 3: Cross multiply
    473.60x = 711.54 × 460.91
  4. Step 4: Simplify right side
    473.60x = 327,955.90
  5. Step 5: Solve for x
    x = 327,955.90/473.60
  6. Step 6: Final answer
    x = 692.47

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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.