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Finding the Fourth Proportional to 296.70, 443.75 and 264.44

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Solution

The fourth proportional to 296.70, 443.75 and 264.44 is: 395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.70 : 443.75 = 264.44 : x
  2. Step 2: Convert to fraction form
    296.70/443.75 = 264.44/x
  3. Step 3: Cross multiply
    296.70x = 443.75 × 264.44
  4. Step 4: Simplify right side
    296.70x = 117,341.71
  5. Step 5: Solve for x
    x = 117,341.71/296.70
  6. Step 6: Final answer
    x = 395.49

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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.