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Finding the Fourth Proportional to 583.92, 874.08 and 378

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Solution

The fourth proportional to 583.92, 874.08 and 378 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 874.08 = 378 : x
  2. Step 2: Convert to fraction form
    583.92/874.08 = 378/x
  3. Step 3: Cross multiply
    583.92x = 874.08 × 378
  4. Step 4: Simplify right side
    583.92x = 330,402.24
  5. Step 5: Solve for x
    x = 330,402.24/583.92
  6. Step 6: Final answer
    x = 565.83

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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.