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Finding the Fourth Proportional to 560.19, 839.67 and 378.55

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Solution

The fourth proportional to 560.19, 839.67 and 378.55 is: 567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.19 : 839.67 = 378.55 : x
  2. Step 2: Convert to fraction form
    560.19/839.67 = 378.55/x
  3. Step 3: Cross multiply
    560.19x = 839.67 × 378.55
  4. Step 4: Simplify right side
    560.19x = 317,857.08
  5. Step 5: Solve for x
    x = 317,857.08/560.19
  6. Step 6: Final answer
    x = 567.41

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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.