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Finding the Fourth Proportional to 497.70, 747.18 and 335.70

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Solution

The fourth proportional to 497.70, 747.18 and 335.70 is: 503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 747.18 = 335.70 : x
  2. Step 2: Convert to fraction form
    497.70/747.18 = 335.70/x
  3. Step 3: Cross multiply
    497.70x = 747.18 × 335.70
  4. Step 4: Simplify right side
    497.70x = 250,828.33
  5. Step 5: Solve for x
    x = 250,828.33/497.70
  6. Step 6: Final answer
    x = 503.97

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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.