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Finding the Fourth Proportional to 484.08, 729.98 and 477.57

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Solution

The fourth proportional to 484.08, 729.98 and 477.57 is: 720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.08 : 729.98 = 477.57 : x
  2. Step 2: Convert to fraction form
    484.08/729.98 = 477.57/x
  3. Step 3: Cross multiply
    484.08x = 729.98 × 477.57
  4. Step 4: Simplify right side
    484.08x = 348,616.55
  5. Step 5: Solve for x
    x = 348,616.55/484.08
  6. Step 6: Final answer
    x = 720.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.