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Finding the Fourth Proportional to 527.82, 728.37 and 318.03

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Solution

The fourth proportional to 527.82, 728.37 and 318.03 is: 438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.82 : 728.37 = 318.03 : x
  2. Step 2: Convert to fraction form
    527.82/728.37 = 318.03/x
  3. Step 3: Cross multiply
    527.82x = 728.37 × 318.03
  4. Step 4: Simplify right side
    527.82x = 231,643.51
  5. Step 5: Solve for x
    x = 231,643.51/527.82
  6. Step 6: Final answer
    x = 438.87

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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.