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Finding the Fourth Proportional to 598.62, 896.61 and 460.65

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Solution

The fourth proportional to 598.62, 896.61 and 460.65 is: 689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.62 : 896.61 = 460.65 : x
  2. Step 2: Convert to fraction form
    598.62/896.61 = 460.65/x
  3. Step 3: Cross multiply
    598.62x = 896.61 × 460.65
  4. Step 4: Simplify right side
    598.62x = 413,023.40
  5. Step 5: Solve for x
    x = 413,023.40/598.62
  6. Step 6: Final answer
    x = 689.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.