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Finding the Fourth Proportional to 616.68, 851.04 and 383.76

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Solution

The fourth proportional to 616.68, 851.04 and 383.76 is: 529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.68 : 851.04 = 383.76 : x
  2. Step 2: Convert to fraction form
    616.68/851.04 = 383.76/x
  3. Step 3: Cross multiply
    616.68x = 851.04 × 383.76
  4. Step 4: Simplify right side
    616.68x = 326,595.11
  5. Step 5: Solve for x
    x = 326,595.11/616.68
  6. Step 6: Final answer
    x = 529.60

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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.