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Finding the Fourth Proportional to 607.24, 836.28 and 502.80

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Solution

The fourth proportional to 607.24, 836.28 and 502.80 is: 692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.24 : 836.28 = 502.80 : x
  2. Step 2: Convert to fraction form
    607.24/836.28 = 502.80/x
  3. Step 3: Cross multiply
    607.24x = 836.28 × 502.80
  4. Step 4: Simplify right side
    607.24x = 420,481.58
  5. Step 5: Solve for x
    x = 420,481.58/607.24
  6. Step 6: Final answer
    x = 692.45

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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.