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Finding the Fourth Proportional to 598.25, 891.49 and 578.67

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Solution

The fourth proportional to 598.25, 891.49 and 578.67 is: 862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 891.49 = 578.67 : x
  2. Step 2: Convert to fraction form
    598.25/891.49 = 578.67/x
  3. Step 3: Cross multiply
    598.25x = 891.49 × 578.67
  4. Step 4: Simplify right side
    598.25x = 515,878.52
  5. Step 5: Solve for x
    x = 515,878.52/598.25
  6. Step 6: Final answer
    x = 862.32

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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.