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Finding the Fourth Proportional to 598.80, 897.84 and 309.90

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Solution

The fourth proportional to 598.80, 897.84 and 309.90 is: 464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 897.84 = 309.90 : x
  2. Step 2: Convert to fraction form
    598.80/897.84 = 309.90/x
  3. Step 3: Cross multiply
    598.80x = 897.84 × 309.90
  4. Step 4: Simplify right side
    598.80x = 278,240.62
  5. Step 5: Solve for x
    x = 278,240.62/598.80
  6. Step 6: Final answer
    x = 464.66

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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.