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Finding the Fourth Proportional to 497.32, 742.22 and 484.36

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Solution

The fourth proportional to 497.32, 742.22 and 484.36 is: 722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.32 : 742.22 = 484.36 : x
  2. Step 2: Convert to fraction form
    497.32/742.22 = 484.36/x
  3. Step 3: Cross multiply
    497.32x = 742.22 × 484.36
  4. Step 4: Simplify right side
    497.32x = 359,501.68
  5. Step 5: Solve for x
    x = 359,501.68/497.32
  6. Step 6: Final answer
    x = 722.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.