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Finding the Fourth Proportional to 394.32, 543.72 and 295.76

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Solution

The fourth proportional to 394.32, 543.72 and 295.76 is: 407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 543.72 = 295.76 : x
  2. Step 2: Convert to fraction form
    394.32/543.72 = 295.76/x
  3. Step 3: Cross multiply
    394.32x = 543.72 × 295.76
  4. Step 4: Simplify right side
    394.32x = 160,810.63
  5. Step 5: Solve for x
    x = 160,810.63/394.32
  6. Step 6: Final answer
    x = 407.82

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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.