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Finding the Fourth Proportional to 676.34, 1,014.51 and 291.70

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Solution

The fourth proportional to 676.34, 1,014.51 and 291.70 is: 437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.34 : 1,014.51 = 291.70 : x
  2. Step 2: Convert to fraction form
    676.34/1,014.51 = 291.70/x
  3. Step 3: Cross multiply
    676.34x = 1,014.51 × 291.70
  4. Step 4: Simplify right side
    676.34x = 295,932.57
  5. Step 5: Solve for x
    x = 295,932.57/676.34
  6. Step 6: Final answer
    x = 437.55

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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.