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Finding the Fourth Proportional to 369.62, 510.15 and 291.20

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Solution

The fourth proportional to 369.62, 510.15 and 291.20 is: 401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.62 : 510.15 = 291.20 : x
  2. Step 2: Convert to fraction form
    369.62/510.15 = 291.20/x
  3. Step 3: Cross multiply
    369.62x = 510.15 × 291.20
  4. Step 4: Simplify right side
    369.62x = 148,553.13
  5. Step 5: Solve for x
    x = 148,553.13/369.62
  6. Step 6: Final answer
    x = 401.91

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