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Finding the Fourth Proportional to 598.14, 896.90 and 324.46

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Solution

The fourth proportional to 598.14, 896.90 and 324.46 is: 486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 896.90 = 324.46 : x
  2. Step 2: Convert to fraction form
    598.14/896.90 = 324.46/x
  3. Step 3: Cross multiply
    598.14x = 896.90 × 324.46
  4. Step 4: Simplify right side
    598.14x = 291,008.17
  5. Step 5: Solve for x
    x = 291,008.17/598.14
  6. Step 6: Final answer
    x = 486.52

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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.