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Finding the Fourth Proportional to 626.40, 864.78 and 416.86

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Solution

The fourth proportional to 626.40, 864.78 and 416.86 is: 575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.40 : 864.78 = 416.86 : x
  2. Step 2: Convert to fraction form
    626.40/864.78 = 416.86/x
  3. Step 3: Cross multiply
    626.40x = 864.78 × 416.86
  4. Step 4: Simplify right side
    626.40x = 360,492.19
  5. Step 5: Solve for x
    x = 360,492.19/626.40
  6. Step 6: Final answer
    x = 575.50

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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.