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Finding the Fourth Proportional to 583.59, 873.84 and 401.34

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Solution

The fourth proportional to 583.59, 873.84 and 401.34 is: 600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.59 : 873.84 = 401.34 : x
  2. Step 2: Convert to fraction form
    583.59/873.84 = 401.34/x
  3. Step 3: Cross multiply
    583.59x = 873.84 × 401.34
  4. Step 4: Simplify right side
    583.59x = 350,706.95
  5. Step 5: Solve for x
    x = 350,706.95/583.59
  6. Step 6: Final answer
    x = 600.95

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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.