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Finding the Fourth Proportional to 375.71, 562.16 and 260.38

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Solution

The fourth proportional to 375.71, 562.16 and 260.38 is: 389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.71 : 562.16 = 260.38 : x
  2. Step 2: Convert to fraction form
    375.71/562.16 = 260.38/x
  3. Step 3: Cross multiply
    375.71x = 562.16 × 260.38
  4. Step 4: Simplify right side
    375.71x = 146,375.11
  5. Step 5: Solve for x
    x = 146,375.11/375.71
  6. Step 6: Final answer
    x = 389.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.