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Finding the Fourth Proportional to 596.72, 899.24 and 560.24

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Solution

The fourth proportional to 596.72, 899.24 and 560.24 is: 844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.72 : 899.24 = 560.24 : x
  2. Step 2: Convert to fraction form
    596.72/899.24 = 560.24/x
  3. Step 3: Cross multiply
    596.72x = 899.24 × 560.24
  4. Step 4: Simplify right side
    596.72x = 503,790.22
  5. Step 5: Solve for x
    x = 503,790.22/596.72
  6. Step 6: Final answer
    x = 844.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.