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Finding the Fourth Proportional to 597.08, 896.28 and 354.08

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Solution

The fourth proportional to 597.08, 896.28 and 354.08 is: 531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.08 : 896.28 = 354.08 : x
  2. Step 2: Convert to fraction form
    597.08/896.28 = 354.08/x
  3. Step 3: Cross multiply
    597.08x = 896.28 × 354.08
  4. Step 4: Simplify right side
    597.08x = 317,354.82
  5. Step 5: Solve for x
    x = 317,354.82/597.08
  6. Step 6: Final answer
    x = 531.51

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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.