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Finding the Fourth Proportional to 527.72, 728.16 and 317.84

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Solution

The fourth proportional to 527.72, 728.16 and 317.84 is: 438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.72 : 728.16 = 317.84 : x
  2. Step 2: Convert to fraction form
    527.72/728.16 = 317.84/x
  3. Step 3: Cross multiply
    527.72x = 728.16 × 317.84
  4. Step 4: Simplify right side
    527.72x = 231,438.37
  5. Step 5: Solve for x
    x = 231,438.37/527.72
  6. Step 6: Final answer
    x = 438.56

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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.