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Finding the Fourth Proportional to 597.33, 896.67 and 354.33

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Solution

The fourth proportional to 597.33, 896.67 and 354.33 is: 531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.33 : 896.67 = 354.33 : x
  2. Step 2: Convert to fraction form
    597.33/896.67 = 354.33/x
  3. Step 3: Cross multiply
    597.33x = 896.67 × 354.33
  4. Step 4: Simplify right side
    597.33x = 317,717.08
  5. Step 5: Solve for x
    x = 317,717.08/597.33
  6. Step 6: Final answer
    x = 531.90

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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.