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Finding the Fourth Proportional to 598.05, 896.45 and 424.71

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Solution

The fourth proportional to 598.05, 896.45 and 424.71 is: 636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.05 : 896.45 = 424.71 : x
  2. Step 2: Convert to fraction form
    598.05/896.45 = 424.71/x
  3. Step 3: Cross multiply
    598.05x = 896.45 × 424.71
  4. Step 4: Simplify right side
    598.05x = 380,729.16
  5. Step 5: Solve for x
    x = 380,729.16/598.05
  6. Step 6: Final answer
    x = 636.62

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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.