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Finding the Fourth Proportional to 314.48, 434.32 and 294.90

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Solution

The fourth proportional to 314.48, 434.32 and 294.90 is: 407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.48 : 434.32 = 294.90 : x
  2. Step 2: Convert to fraction form
    314.48/434.32 = 294.90/x
  3. Step 3: Cross multiply
    314.48x = 434.32 × 294.90
  4. Step 4: Simplify right side
    314.48x = 128,080.97
  5. Step 5: Solve for x
    x = 128,080.97/314.48
  6. Step 6: Final answer
    x = 407.28

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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.