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Finding the Fourth Proportional to 560.52, 839.43 and 377.46

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Solution

The fourth proportional to 560.52, 839.43 and 377.46 is: 565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.52 : 839.43 = 377.46 : x
  2. Step 2: Convert to fraction form
    560.52/839.43 = 377.46/x
  3. Step 3: Cross multiply
    560.52x = 839.43 × 377.46
  4. Step 4: Simplify right side
    560.52x = 316,851.25
  5. Step 5: Solve for x
    x = 316,851.25/560.52
  6. Step 6: Final answer
    x = 565.28

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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.