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Finding the Fourth Proportional to 576.48, 860.54 and 493.86

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Solution

The fourth proportional to 576.48, 860.54 and 493.86 is: 737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.48 : 860.54 = 493.86 : x
  2. Step 2: Convert to fraction form
    576.48/860.54 = 493.86/x
  3. Step 3: Cross multiply
    576.48x = 860.54 × 493.86
  4. Step 4: Simplify right side
    576.48x = 424,983.82
  5. Step 5: Solve for x
    x = 424,983.82/576.48
  6. Step 6: Final answer
    x = 737.20

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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.