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Finding the Fourth Proportional to 576.67, 860.75 and 504.13

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Solution

The fourth proportional to 576.67, 860.75 and 504.13 is: 752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.67 : 860.75 = 504.13 : x
  2. Step 2: Convert to fraction form
    576.67/860.75 = 504.13/x
  3. Step 3: Cross multiply
    576.67x = 860.75 × 504.13
  4. Step 4: Simplify right side
    576.67x = 433,929.90
  5. Step 5: Solve for x
    x = 433,929.90/576.67
  6. Step 6: Final answer
    x = 752.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.