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Finding the Fourth Proportional to 598.64, 897.56 and 324.04

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Solution

The fourth proportional to 598.64, 897.56 and 324.04 is: 485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 897.56 = 324.04 : x
  2. Step 2: Convert to fraction form
    598.64/897.56 = 324.04/x
  3. Step 3: Cross multiply
    598.64x = 897.56 × 324.04
  4. Step 4: Simplify right side
    598.64x = 290,845.34
  5. Step 5: Solve for x
    x = 290,845.34/598.64
  6. Step 6: Final answer
    x = 485.84

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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.