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Finding the Fourth Proportional to 527.82, 728.34 and 294.96

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Solution

The fourth proportional to 527.82, 728.34 and 294.96 is: 407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.82 : 728.34 = 294.96 : x
  2. Step 2: Convert to fraction form
    527.82/728.34 = 294.96/x
  3. Step 3: Cross multiply
    527.82x = 728.34 × 294.96
  4. Step 4: Simplify right side
    527.82x = 214,831.17
  5. Step 5: Solve for x
    x = 214,831.17/527.82
  6. Step 6: Final answer
    x = 407.02

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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.