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Finding the Fourth Proportional to 313.44, 432.64 and 215.28

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Solution

The fourth proportional to 313.44, 432.64 and 215.28 is: 297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.44 : 432.64 = 215.28 : x
  2. Step 2: Convert to fraction form
    313.44/432.64 = 215.28/x
  3. Step 3: Cross multiply
    313.44x = 432.64 × 215.28
  4. Step 4: Simplify right side
    313.44x = 93,138.74
  5. Step 5: Solve for x
    x = 93,138.74/313.44
  6. Step 6: Final answer
    x = 297.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.