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Finding the Fourth Proportional to 527.97, 728.82 and 389.19

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Solution

The fourth proportional to 527.97, 728.82 and 389.19 is: 537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.97 : 728.82 = 389.19 : x
  2. Step 2: Convert to fraction form
    527.97/728.82 = 389.19/x
  3. Step 3: Cross multiply
    527.97x = 728.82 × 389.19
  4. Step 4: Simplify right side
    527.97x = 283,649.46
  5. Step 5: Solve for x
    x = 283,649.46/527.97
  6. Step 6: Final answer
    x = 537.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.