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Finding the Fourth Proportional to 393.18, 543.14 and 294.76

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Solution

The fourth proportional to 393.18, 543.14 and 294.76 is: 407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.18 : 543.14 = 294.76 : x
  2. Step 2: Convert to fraction form
    393.18/543.14 = 294.76/x
  3. Step 3: Cross multiply
    393.18x = 543.14 × 294.76
  4. Step 4: Simplify right side
    393.18x = 160,095.95
  5. Step 5: Solve for x
    x = 160,095.95/393.18
  6. Step 6: Final answer
    x = 407.18

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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.