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Finding the Fourth Proportional to 471.32, 703.24 and 460.36

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Solution

The fourth proportional to 471.32, 703.24 and 460.36 is: 686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.32 : 703.24 = 460.36 : x
  2. Step 2: Convert to fraction form
    471.32/703.24 = 460.36/x
  3. Step 3: Cross multiply
    471.32x = 703.24 × 460.36
  4. Step 4: Simplify right side
    471.32x = 323,743.57
  5. Step 5: Solve for x
    x = 323,743.57/471.32
  6. Step 6: Final answer
    x = 686.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.