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Finding the Fourth Proportional to 543.66, 750.30 and 425.78

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Solution

The fourth proportional to 543.66, 750.30 and 425.78 is: 587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.66 : 750.30 = 425.78 : x
  2. Step 2: Convert to fraction form
    543.66/750.30 = 425.78/x
  3. Step 3: Cross multiply
    543.66x = 750.30 × 425.78
  4. Step 4: Simplify right side
    543.66x = 319,462.73
  5. Step 5: Solve for x
    x = 319,462.73/543.66
  6. Step 6: Final answer
    x = 587.61

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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.