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Finding the Fourth Proportional to 482.28, 721.98 and 442.92

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Solution

The fourth proportional to 482.28, 721.98 and 442.92 is: 663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.28 : 721.98 = 442.92 : x
  2. Step 2: Convert to fraction form
    482.28/721.98 = 442.92/x
  3. Step 3: Cross multiply
    482.28x = 721.98 × 442.92
  4. Step 4: Simplify right side
    482.28x = 319,779.38
  5. Step 5: Solve for x
    x = 319,779.38/482.28
  6. Step 6: Final answer
    x = 663.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.