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Finding the Fourth Proportional to 598.87, 897.45 and 468.27

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Solution

The fourth proportional to 598.87, 897.45 and 468.27 is: 701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.87 : 897.45 = 468.27 : x
  2. Step 2: Convert to fraction form
    598.87/897.45 = 468.27/x
  3. Step 3: Cross multiply
    598.87x = 897.45 × 468.27
  4. Step 4: Simplify right side
    598.87x = 420,248.91
  5. Step 5: Solve for x
    x = 420,248.91/598.87
  6. Step 6: Final answer
    x = 701.74

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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.