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Finding the Fourth Proportional to 497.28, 742.29 and 465.24

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Solution

The fourth proportional to 497.28, 742.29 and 465.24 is: 694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.28 : 742.29 = 465.24 : x
  2. Step 2: Convert to fraction form
    497.28/742.29 = 465.24/x
  3. Step 3: Cross multiply
    497.28x = 742.29 × 465.24
  4. Step 4: Simplify right side
    497.28x = 345,343.00
  5. Step 5: Solve for x
    x = 345,343.00/497.28
  6. Step 6: Final answer
    x = 694.46

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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.