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Finding the Fourth Proportional to 527.46, 727.93 and 294.59

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Solution

The fourth proportional to 527.46, 727.93 and 294.59 is: 406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.46 : 727.93 = 294.59 : x
  2. Step 2: Convert to fraction form
    527.46/727.93 = 294.59/x
  3. Step 3: Cross multiply
    527.46x = 727.93 × 294.59
  4. Step 4: Simplify right side
    527.46x = 214,435.79
  5. Step 5: Solve for x
    x = 214,435.79/527.46
  6. Step 6: Final answer
    x = 406.54

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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.