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Finding the Fourth Proportional to 527.32, 727.70 and 294.45

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Solution

The fourth proportional to 527.32, 727.70 and 294.45 is: 406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.32 : 727.70 = 294.45 : x
  2. Step 2: Convert to fraction form
    527.32/727.70 = 294.45/x
  3. Step 3: Cross multiply
    527.32x = 727.70 × 294.45
  4. Step 4: Simplify right side
    527.32x = 214,269.27
  5. Step 5: Solve for x
    x = 214,269.27/527.32
  6. Step 6: Final answer
    x = 406.34

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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.