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Finding the Fourth Proportional to 626.49, 864.49 and 346.66

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Solution

The fourth proportional to 626.49, 864.49 and 346.66 is: 478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.49 : 864.49 = 346.66 : x
  2. Step 2: Convert to fraction form
    626.49/864.49 = 346.66/x
  3. Step 3: Cross multiply
    626.49x = 864.49 × 346.66
  4. Step 4: Simplify right side
    626.49x = 299,684.10
  5. Step 5: Solve for x
    x = 299,684.10/626.49
  6. Step 6: Final answer
    x = 478.35

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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.