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Finding the Fourth Proportional to 497.49, 749.54 and 467.70

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Solution

The fourth proportional to 497.49, 749.54 and 467.70 is: 704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.49 : 749.54 = 467.70 : x
  2. Step 2: Convert to fraction form
    497.49/749.54 = 467.70/x
  3. Step 3: Cross multiply
    497.49x = 749.54 × 467.70
  4. Step 4: Simplify right side
    497.49x = 350,557.52
  5. Step 5: Solve for x
    x = 350,557.52/497.49
  6. Step 6: Final answer
    x = 704.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.