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Finding the Fourth Proportional to 616.58, 851.00 and 380.64

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Solution

The fourth proportional to 616.58, 851.00 and 380.64 is: 525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.58 : 851.00 = 380.64 : x
  2. Step 2: Convert to fraction form
    616.58/851.00 = 380.64/x
  3. Step 3: Cross multiply
    616.58x = 851.00 × 380.64
  4. Step 4: Simplify right side
    616.58x = 323,922.74
  5. Step 5: Solve for x
    x = 323,922.74/616.58
  6. Step 6: Final answer
    x = 525.36

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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.