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Finding the Fourth Proportional to 527.40, 727.78 and 294.52

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Solution

The fourth proportional to 527.40, 727.78 and 294.52 is: 406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.40 : 727.78 = 294.52 : x
  2. Step 2: Convert to fraction form
    527.40/727.78 = 294.52/x
  3. Step 3: Cross multiply
    527.40x = 727.78 × 294.52
  4. Step 4: Simplify right side
    527.40x = 214,345.77
  5. Step 5: Solve for x
    x = 214,345.77/527.40
  6. Step 6: Final answer
    x = 406.42

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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.