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Finding the Fourth Proportional to 597.54, 896.58 and 353.91

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Solution

The fourth proportional to 597.54, 896.58 and 353.91 is: 531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.54 : 896.58 = 353.91 : x
  2. Step 2: Convert to fraction form
    597.54/896.58 = 353.91/x
  3. Step 3: Cross multiply
    597.54x = 896.58 × 353.91
  4. Step 4: Simplify right side
    597.54x = 317,308.63
  5. Step 5: Solve for x
    x = 317,308.63/597.54
  6. Step 6: Final answer
    x = 531.02

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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.