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Finding the Fourth Proportional to 648.30, 895.38 and 502.69

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Solution

The fourth proportional to 648.30, 895.38 and 502.69 is: 694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.30 : 895.38 = 502.69 : x
  2. Step 2: Convert to fraction form
    648.30/895.38 = 502.69/x
  3. Step 3: Cross multiply
    648.30x = 895.38 × 502.69
  4. Step 4: Simplify right side
    648.30x = 450,098.57
  5. Step 5: Solve for x
    x = 450,098.57/648.30
  6. Step 6: Final answer
    x = 694.28

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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.