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Finding the Fourth Proportional to 375.64, 560.62 and 365.92

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Solution

The fourth proportional to 375.64, 560.62 and 365.92 is: 546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.64 : 560.62 = 365.92 : x
  2. Step 2: Convert to fraction form
    375.64/560.62 = 365.92/x
  3. Step 3: Cross multiply
    375.64x = 560.62 × 365.92
  4. Step 4: Simplify right side
    375.64x = 205,142.07
  5. Step 5: Solve for x
    x = 205,142.07/375.64
  6. Step 6: Final answer
    x = 546.11

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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.