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Finding the Fourth Proportional to 679.42, 937.16 and 469.24

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Solution

The fourth proportional to 679.42, 937.16 and 469.24 is: 647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.42 : 937.16 = 469.24 : x
  2. Step 2: Convert to fraction form
    679.42/937.16 = 469.24/x
  3. Step 3: Cross multiply
    679.42x = 937.16 × 469.24
  4. Step 4: Simplify right side
    679.42x = 439,752.96
  5. Step 5: Solve for x
    x = 439,752.96/679.42
  6. Step 6: Final answer
    x = 647.25

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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.