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Finding the Fourth Proportional to 314, 432.78 and 295.19

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Solution

The fourth proportional to 314, 432.78 and 295.19 is: 406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 432.78 = 295.19 : x
  2. Step 2: Convert to fraction form
    314/432.78 = 295.19/x
  3. Step 3: Cross multiply
    314x = 432.78 × 295.19
  4. Step 4: Simplify right side
    314x = 127,752.33
  5. Step 5: Solve for x
    x = 127,752.33/314
  6. Step 6: Final answer
    x = 406.85

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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.