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Finding the Fourth Proportional to 598.41, 897.92 and 309.84

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Solution

The fourth proportional to 598.41, 897.92 and 309.84 is: 464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.41 : 897.92 = 309.84 : x
  2. Step 2: Convert to fraction form
    598.41/897.92 = 309.84/x
  3. Step 3: Cross multiply
    598.41x = 897.92 × 309.84
  4. Step 4: Simplify right side
    598.41x = 278,209.98
  5. Step 5: Solve for x
    x = 278,209.98/598.41
  6. Step 6: Final answer
    x = 464.92

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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.