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Finding the Fourth Proportional to 484.84, 721.85 and 456.76

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Solution

The fourth proportional to 484.84, 721.85 and 456.76 is: 680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.84 : 721.85 = 456.76 : x
  2. Step 2: Convert to fraction form
    484.84/721.85 = 456.76/x
  3. Step 3: Cross multiply
    484.84x = 721.85 × 456.76
  4. Step 4: Simplify right side
    484.84x = 329,712.21
  5. Step 5: Solve for x
    x = 329,712.21/484.84
  6. Step 6: Final answer
    x = 680.04

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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.