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Finding the Fourth Proportional to 626.48, 863.16 and 509.84

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Solution

The fourth proportional to 626.48, 863.16 and 509.84 is: 702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.48 : 863.16 = 509.84 : x
  2. Step 2: Convert to fraction form
    626.48/863.16 = 509.84/x
  3. Step 3: Cross multiply
    626.48x = 863.16 × 509.84
  4. Step 4: Simplify right side
    626.48x = 440,073.49
  5. Step 5: Solve for x
    x = 440,073.49/626.48
  6. Step 6: Final answer
    x = 702.45

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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.