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Finding the Fourth Proportional to 597.18, 896.11 and 354.18

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Solution

The fourth proportional to 597.18, 896.11 and 354.18 is: 531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.18 : 896.11 = 354.18 : x
  2. Step 2: Convert to fraction form
    597.18/896.11 = 354.18/x
  3. Step 3: Cross multiply
    597.18x = 896.11 × 354.18
  4. Step 4: Simplify right side
    597.18x = 317,384.24
  5. Step 5: Solve for x
    x = 317,384.24/597.18
  6. Step 6: Final answer
    x = 531.47

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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.