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Finding the Fourth Proportional to 598.16, 897.17 and 379.46

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Solution

The fourth proportional to 598.16, 897.17 and 379.46 is: 569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.16 : 897.17 = 379.46 : x
  2. Step 2: Convert to fraction form
    598.16/897.17 = 379.46/x
  3. Step 3: Cross multiply
    598.16x = 897.17 × 379.46
  4. Step 4: Simplify right side
    598.16x = 340,433.75
  5. Step 5: Solve for x
    x = 340,433.75/598.16
  6. Step 6: Final answer
    x = 569.14

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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.