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Finding the Fourth Proportional to 324.32, 487 and 297.28

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Solution

The fourth proportional to 324.32, 487 and 297.28 is: 446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.32 : 487 = 297.28 : x
  2. Step 2: Convert to fraction form
    324.32/487 = 297.28/x
  3. Step 3: Cross multiply
    324.32x = 487 × 297.28
  4. Step 4: Simplify right side
    324.32x = 144,775.36
  5. Step 5: Solve for x
    x = 144,775.36/324.32
  6. Step 6: Final answer
    x = 446.40

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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.