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Finding the Fourth Proportional to 598.79, 897.57 and 325.14

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Solution

The fourth proportional to 598.79, 897.57 and 325.14 is: 487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.79 : 897.57 = 325.14 : x
  2. Step 2: Convert to fraction form
    598.79/897.57 = 325.14/x
  3. Step 3: Cross multiply
    598.79x = 897.57 × 325.14
  4. Step 4: Simplify right side
    598.79x = 291,835.91
  5. Step 5: Solve for x
    x = 291,835.91/598.79
  6. Step 6: Final answer
    x = 487.38

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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.