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Finding the Fourth Proportional to 501.61, 691.96 and 335.86

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Solution

The fourth proportional to 501.61, 691.96 and 335.86 is: 463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.61 : 691.96 = 335.86 : x
  2. Step 2: Convert to fraction form
    501.61/691.96 = 335.86/x
  3. Step 3: Cross multiply
    501.61x = 691.96 × 335.86
  4. Step 4: Simplify right side
    501.61x = 232,403.64
  5. Step 5: Solve for x
    x = 232,403.64/501.61
  6. Step 6: Final answer
    x = 463.32

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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.