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Finding the Fourth Proportional to 497.96, 742.55 and 463.33

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Solution

The fourth proportional to 497.96, 742.55 and 463.33 is: 690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.96 : 742.55 = 463.33 : x
  2. Step 2: Convert to fraction form
    497.96/742.55 = 463.33/x
  3. Step 3: Cross multiply
    497.96x = 742.55 × 463.33
  4. Step 4: Simplify right side
    497.96x = 344,045.69
  5. Step 5: Solve for x
    x = 344,045.69/497.96
  6. Step 6: Final answer
    x = 690.91

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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.