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Finding the Fourth Proportional to 560.92, 842.90 and 301.10

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Solution

The fourth proportional to 560.92, 842.90 and 301.10 is: 452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.92 : 842.90 = 301.10 : x
  2. Step 2: Convert to fraction form
    560.92/842.90 = 301.10/x
  3. Step 3: Cross multiply
    560.92x = 842.90 × 301.10
  4. Step 4: Simplify right side
    560.92x = 253,797.19
  5. Step 5: Solve for x
    x = 253,797.19/560.92
  6. Step 6: Final answer
    x = 452.47

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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.