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Finding the Fourth Proportional to 583.95, 876.41 and 337.42

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Solution

The fourth proportional to 583.95, 876.41 and 337.42 is: 506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.95 : 876.41 = 337.42 : x
  2. Step 2: Convert to fraction form
    583.95/876.41 = 337.42/x
  3. Step 3: Cross multiply
    583.95x = 876.41 × 337.42
  4. Step 4: Simplify right side
    583.95x = 295,718.26
  5. Step 5: Solve for x
    x = 295,718.26/583.95
  6. Step 6: Final answer
    x = 506.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.