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Finding the Fourth Proportional to 597.60, 896.31 and 309.24

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Solution

The fourth proportional to 597.60, 896.31 and 309.24 is: 463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.60 : 896.31 = 309.24 : x
  2. Step 2: Convert to fraction form
    597.60/896.31 = 309.24/x
  3. Step 3: Cross multiply
    597.60x = 896.31 × 309.24
  4. Step 4: Simplify right side
    597.60x = 277,174.90
  5. Step 5: Solve for x
    x = 277,174.90/597.60
  6. Step 6: Final answer
    x = 463.81

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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.