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Finding the Fourth Proportional to 560.14, 770.34 and 449.44

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Solution

The fourth proportional to 560.14, 770.34 and 449.44 is: 618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.14 : 770.34 = 449.44 : x
  2. Step 2: Convert to fraction form
    560.14/770.34 = 449.44/x
  3. Step 3: Cross multiply
    560.14x = 770.34 × 449.44
  4. Step 4: Simplify right side
    560.14x = 346,221.61
  5. Step 5: Solve for x
    x = 346,221.61/560.14
  6. Step 6: Final answer
    x = 618.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.