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Finding the Fourth Proportional to 626.61, 864.48 and 416.88

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Solution

The fourth proportional to 626.61, 864.48 and 416.88 is: 575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.61 : 864.48 = 416.88 : x
  2. Step 2: Convert to fraction form
    626.61/864.48 = 416.88/x
  3. Step 3: Cross multiply
    626.61x = 864.48 × 416.88
  4. Step 4: Simplify right side
    626.61x = 360,384.42
  5. Step 5: Solve for x
    x = 360,384.42/626.61
  6. Step 6: Final answer
    x = 575.13

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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.