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Finding the Fourth Proportional to 501, 691.46 and 294.12

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Solution

The fourth proportional to 501, 691.46 and 294.12 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    501 : 691.46 = 294.12 : x
  2. Step 2: Convert to fraction form
    501/691.46 = 294.12/x
  3. Step 3: Cross multiply
    501x = 691.46 × 294.12
  4. Step 4: Simplify right side
    501x = 203,372.22
  5. Step 5: Solve for x
    x = 203,372.22/501
  6. Step 6: Final answer
    x = 405.93

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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.