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Finding the Fourth Proportional to 527.05, 727.32 and 294.19

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Solution

The fourth proportional to 527.05, 727.32 and 294.19 is: 405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.05 : 727.32 = 294.19 : x
  2. Step 2: Convert to fraction form
    527.05/727.32 = 294.19/x
  3. Step 3: Cross multiply
    527.05x = 727.32 × 294.19
  4. Step 4: Simplify right side
    527.05x = 213,970.27
  5. Step 5: Solve for x
    x = 213,970.27/527.05
  6. Step 6: Final answer
    x = 405.98

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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.