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Finding the Fourth Proportional to 598.74, 897.28 and 324.24

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Solution

The fourth proportional to 598.74, 897.28 and 324.24 is: 485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 897.28 = 324.24 : x
  2. Step 2: Convert to fraction form
    598.74/897.28 = 324.24/x
  3. Step 3: Cross multiply
    598.74x = 897.28 × 324.24
  4. Step 4: Simplify right side
    598.74x = 290,934.07
  5. Step 5: Solve for x
    x = 290,934.07/598.74
  6. Step 6: Final answer
    x = 485.91

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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.