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Finding the Fourth Proportional to 551.47, 826.30 and 258.66

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Solution

The fourth proportional to 551.47, 826.30 and 258.66 is: 387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.47 : 826.30 = 258.66 : x
  2. Step 2: Convert to fraction form
    551.47/826.30 = 258.66/x
  3. Step 3: Cross multiply
    551.47x = 826.30 × 258.66
  4. Step 4: Simplify right side
    551.47x = 213,730.76
  5. Step 5: Solve for x
    x = 213,730.76/551.47
  6. Step 6: Final answer
    x = 387.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.