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Finding the Fourth Proportional to 527.35, 727.75 and 294.48

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Solution

The fourth proportional to 527.35, 727.75 and 294.48 is: 406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.35 : 727.75 = 294.48 : x
  2. Step 2: Convert to fraction form
    527.35/727.75 = 294.48/x
  3. Step 3: Cross multiply
    527.35x = 727.75 × 294.48
  4. Step 4: Simplify right side
    527.35x = 214,302.71
  5. Step 5: Solve for x
    x = 214,302.71/527.35
  6. Step 6: Final answer
    x = 406.38

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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.