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Finding the Fourth Proportional to 626.80, 864.45 and 469.80

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Solution

The fourth proportional to 626.80, 864.45 and 469.80 is: 647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.80 : 864.45 = 469.80 : x
  2. Step 2: Convert to fraction form
    626.80/864.45 = 469.80/x
  3. Step 3: Cross multiply
    626.80x = 864.45 × 469.80
  4. Step 4: Simplify right side
    626.80x = 406,114.29
  5. Step 5: Solve for x
    x = 406,114.29/626.80
  6. Step 6: Final answer
    x = 647.92

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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.