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Finding the Fourth Proportional to 501.44, 691.52 and 335.60

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Solution

The fourth proportional to 501.44, 691.52 and 335.60 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 691.52 = 335.60 : x
  2. Step 2: Convert to fraction form
    501.44/691.52 = 335.60/x
  3. Step 3: Cross multiply
    501.44x = 691.52 × 335.60
  4. Step 4: Simplify right side
    501.44x = 232,074.11
  5. Step 5: Solve for x
    x = 232,074.11/501.44
  6. Step 6: Final answer
    x = 462.82

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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.