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Finding the Fourth Proportional to 679, 937.20 and 417.24

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Solution

The fourth proportional to 679, 937.20 and 417.24 is: 575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    679 : 937.20 = 417.24 : x
  2. Step 2: Convert to fraction form
    679/937.20 = 417.24/x
  3. Step 3: Cross multiply
    679x = 937.20 × 417.24
  4. Step 4: Simplify right side
    679x = 391,030.56
  5. Step 5: Solve for x
    x = 391,030.56/679
  6. Step 6: Final answer
    x = 575.89

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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.