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Finding the Fourth Proportional to 560.89, 769.48 and 546.58

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Solution

The fourth proportional to 560.89, 769.48 and 546.58 is: 749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.89 : 769.48 = 546.58 : x
  2. Step 2: Convert to fraction form
    560.89/769.48 = 546.58/x
  3. Step 3: Cross multiply
    560.89x = 769.48 × 546.58
  4. Step 4: Simplify right side
    560.89x = 420,582.38
  5. Step 5: Solve for x
    x = 420,582.38/560.89
  6. Step 6: Final answer
    x = 749.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.