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Finding the Fourth Proportional to 617.51, 851.67 and 524.56

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Solution

The fourth proportional to 617.51, 851.67 and 524.56 is: 723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.51 : 851.67 = 524.56 : x
  2. Step 2: Convert to fraction form
    617.51/851.67 = 524.56/x
  3. Step 3: Cross multiply
    617.51x = 851.67 × 524.56
  4. Step 4: Simplify right side
    617.51x = 446,753.08
  5. Step 5: Solve for x
    x = 446,753.08/617.51
  6. Step 6: Final answer
    x = 723.48

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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.