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Finding the Fourth Proportional to 616.77, 921 and 491.64

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Solution

The fourth proportional to 616.77, 921 and 491.64 is: 734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.77 : 921 = 491.64 : x
  2. Step 2: Convert to fraction form
    616.77/921 = 491.64/x
  3. Step 3: Cross multiply
    616.77x = 921 × 491.64
  4. Step 4: Simplify right side
    616.77x = 452,800.44
  5. Step 5: Solve for x
    x = 452,800.44/616.77
  6. Step 6: Final answer
    x = 734.15

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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.