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Finding the Fourth Proportional to 501.25, 691.91 and 335.40

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Solution

The fourth proportional to 501.25, 691.91 and 335.40 is: 462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.25 : 691.91 = 335.40 : x
  2. Step 2: Convert to fraction form
    501.25/691.91 = 335.40/x
  3. Step 3: Cross multiply
    501.25x = 691.91 × 335.40
  4. Step 4: Simplify right side
    501.25x = 232,066.61
  5. Step 5: Solve for x
    x = 232,066.61/501.25
  6. Step 6: Final answer
    x = 462.98

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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.