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Finding the Fourth Proportional to 484.58, 721.98 and 461.36

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Solution

The fourth proportional to 484.58, 721.98 and 461.36 is: 687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.58 : 721.98 = 461.36 : x
  2. Step 2: Convert to fraction form
    484.58/721.98 = 461.36/x
  3. Step 3: Cross multiply
    484.58x = 721.98 × 461.36
  4. Step 4: Simplify right side
    484.58x = 333,094.50
  5. Step 5: Solve for x
    x = 333,094.50/484.58
  6. Step 6: Final answer
    x = 687.38

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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.