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Finding the Fourth Proportional to 462.80, 690.58 and 451.82

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Solution

The fourth proportional to 462.80, 690.58 and 451.82 is: 674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.80 : 690.58 = 451.82 : x
  2. Step 2: Convert to fraction form
    462.80/690.58 = 451.82/x
  3. Step 3: Cross multiply
    462.80x = 690.58 × 451.82
  4. Step 4: Simplify right side
    462.80x = 312,017.86
  5. Step 5: Solve for x
    x = 312,017.86/462.80
  6. Step 6: Final answer
    x = 674.20

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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.