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Finding the Fourth Proportional to 742.24, 1,024.08 and 466.24

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Solution

The fourth proportional to 742.24, 1,024.08 and 466.24 is: 643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.24 : 1,024.08 = 466.24 : x
  2. Step 2: Convert to fraction form
    742.24/1,024.08 = 466.24/x
  3. Step 3: Cross multiply
    742.24x = 1,024.08 × 466.24
  4. Step 4: Simplify right side
    742.24x = 477,467.06
  5. Step 5: Solve for x
    x = 477,467.06/742.24
  6. Step 6: Final answer
    x = 643.28

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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.