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Finding the Fourth Proportional to 527.36, 727.80 and 294.50

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Solution

The fourth proportional to 527.36, 727.80 and 294.50 is: 406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.36 : 727.80 = 294.50 : x
  2. Step 2: Convert to fraction form
    527.36/727.80 = 294.50/x
  3. Step 3: Cross multiply
    527.36x = 727.80 × 294.50
  4. Step 4: Simplify right side
    527.36x = 214,337.10
  5. Step 5: Solve for x
    x = 214,337.10/527.36
  6. Step 6: Final answer
    x = 406.43

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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.