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Finding the Fourth Proportional to 616.32, 921.60 and 476.64

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Solution

The fourth proportional to 616.32, 921.60 and 476.64 is: 712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.32 : 921.60 = 476.64 : x
  2. Step 2: Convert to fraction form
    616.32/921.60 = 476.64/x
  3. Step 3: Cross multiply
    616.32x = 921.60 × 476.64
  4. Step 4: Simplify right side
    616.32x = 439,271.42
  5. Step 5: Solve for x
    x = 439,271.42/616.32
  6. Step 6: Final answer
    x = 712.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.