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Finding the Fourth Proportional to 375.31, 560.71 and 237.25

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Solution

The fourth proportional to 375.31, 560.71 and 237.25 is: 354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.31 : 560.71 = 237.25 : x
  2. Step 2: Convert to fraction form
    375.31/560.71 = 237.25/x
  3. Step 3: Cross multiply
    375.31x = 560.71 × 237.25
  4. Step 4: Simplify right side
    375.31x = 133,028.45
  5. Step 5: Solve for x
    x = 133,028.45/375.31
  6. Step 6: Final answer
    x = 354.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.