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Finding the Fourth Proportional to 372.89, 560.04 and 342.42

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Solution

The fourth proportional to 372.89, 560.04 and 342.42 is: 514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.89 : 560.04 = 342.42 : x
  2. Step 2: Convert to fraction form
    372.89/560.04 = 342.42/x
  3. Step 3: Cross multiply
    372.89x = 560.04 × 342.42
  4. Step 4: Simplify right side
    372.89x = 191,765.51
  5. Step 5: Solve for x
    x = 191,765.51/372.89
  6. Step 6: Final answer
    x = 514.26

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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.