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Finding the Fourth Proportional to 527.43, 727.52 and 320.43

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Solution

The fourth proportional to 527.43, 727.52 and 320.43 is: 441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.43 : 727.52 = 320.43 : x
  2. Step 2: Convert to fraction form
    527.43/727.52 = 320.43/x
  3. Step 3: Cross multiply
    527.43x = 727.52 × 320.43
  4. Step 4: Simplify right side
    527.43x = 233,117.63
  5. Step 5: Solve for x
    x = 233,117.63/527.43
  6. Step 6: Final answer
    x = 441.99

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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.