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Finding the Fourth Proportional to 501.06, 691.50 and 335.34

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Solution

The fourth proportional to 501.06, 691.50 and 335.34 is: 462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.06 : 691.50 = 335.34 : x
  2. Step 2: Convert to fraction form
    501.06/691.50 = 335.34/x
  3. Step 3: Cross multiply
    501.06x = 691.50 × 335.34
  4. Step 4: Simplify right side
    501.06x = 231,887.61
  5. Step 5: Solve for x
    x = 231,887.61/501.06
  6. Step 6: Final answer
    x = 462.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.