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Finding the Fourth Proportional to 484.60, 669.36 and 457.24

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Solution

The fourth proportional to 484.60, 669.36 and 457.24 is: 631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.60 : 669.36 = 457.24 : x
  2. Step 2: Convert to fraction form
    484.60/669.36 = 457.24/x
  3. Step 3: Cross multiply
    484.60x = 669.36 × 457.24
  4. Step 4: Simplify right side
    484.60x = 306,058.17
  5. Step 5: Solve for x
    x = 306,058.17/484.60
  6. Step 6: Final answer
    x = 631.57

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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.