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Finding the Fourth Proportional to 314.34, 432.72 and 293.82

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Solution

The fourth proportional to 314.34, 432.72 and 293.82 is: 404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.34 : 432.72 = 293.82 : x
  2. Step 2: Convert to fraction form
    314.34/432.72 = 293.82/x
  3. Step 3: Cross multiply
    314.34x = 432.72 × 293.82
  4. Step 4: Simplify right side
    314.34x = 127,141.79
  5. Step 5: Solve for x
    x = 127,141.79/314.34
  6. Step 6: Final answer
    x = 404.47

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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.