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Finding the Fourth Proportional to 560.40, 839.90 and 546.76

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Solution

The fourth proportional to 560.40, 839.90 and 546.76 is: 819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.40 : 839.90 = 546.76 : x
  2. Step 2: Convert to fraction form
    560.40/839.90 = 546.76/x
  3. Step 3: Cross multiply
    560.40x = 839.90 × 546.76
  4. Step 4: Simplify right side
    560.40x = 459,223.72
  5. Step 5: Solve for x
    x = 459,223.72/560.40
  6. Step 6: Final answer
    x = 819.46

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Why These Related Problems?

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