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Finding the Fourth Proportional to 633.48, 874.92 and 495.30

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Solution

The fourth proportional to 633.48, 874.92 and 495.30 is: 684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.48 : 874.92 = 495.30 : x
  2. Step 2: Convert to fraction form
    633.48/874.92 = 495.30/x
  3. Step 3: Cross multiply
    633.48x = 874.92 × 495.30
  4. Step 4: Simplify right side
    633.48x = 433,347.88
  5. Step 5: Solve for x
    x = 433,347.88/633.48
  6. Step 6: Final answer
    x = 684.08

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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.