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Finding the Fourth Proportional to 527.14, 727.43 and 294.26

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Solution

The fourth proportional to 527.14, 727.43 and 294.26 is: 406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.14 : 727.43 = 294.26 : x
  2. Step 2: Convert to fraction form
    527.14/727.43 = 294.26/x
  3. Step 3: Cross multiply
    527.14x = 727.43 × 294.26
  4. Step 4: Simplify right side
    527.14x = 214,053.55
  5. Step 5: Solve for x
    x = 214,053.55/527.14
  6. Step 6: Final answer
    x = 406.07

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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.