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Finding the Fourth Proportional to 297.71, 446.16 and 259.00

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Solution

The fourth proportional to 297.71, 446.16 and 259.00 is: 388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.71 : 446.16 = 259.00 : x
  2. Step 2: Convert to fraction form
    297.71/446.16 = 259.00/x
  3. Step 3: Cross multiply
    297.71x = 446.16 × 259.00
  4. Step 4: Simplify right side
    297.71x = 115,555.30
  5. Step 5: Solve for x
    x = 115,555.30/297.71
  6. Step 6: Final answer
    x = 388.15

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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.