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Finding the Fourth Proportional to 600.92, 895.22 and 578.88

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Solution

The fourth proportional to 600.92, 895.22 and 578.88 is: 862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.92 : 895.22 = 578.88 : x
  2. Step 2: Convert to fraction form
    600.92/895.22 = 578.88/x
  3. Step 3: Cross multiply
    600.92x = 895.22 × 578.88
  4. Step 4: Simplify right side
    600.92x = 518,222.06
  5. Step 5: Solve for x
    x = 518,222.06/600.92
  6. Step 6: Final answer
    x = 862.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.