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Finding the Fourth Proportional to 626.46, 864.89 and 416.93

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Solution

The fourth proportional to 626.46, 864.89 and 416.93 is: 575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.46 : 864.89 = 416.93 : x
  2. Step 2: Convert to fraction form
    626.46/864.89 = 416.93/x
  3. Step 3: Cross multiply
    626.46x = 864.89 × 416.93
  4. Step 4: Simplify right side
    626.46x = 360,592.18
  5. Step 5: Solve for x
    x = 360,592.18/626.46
  6. Step 6: Final answer
    x = 575.60

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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.