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Finding the Fourth Proportional to 527.29, 727.42 and 340.84

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Solution

The fourth proportional to 527.29, 727.42 and 340.84 is: 470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.29 : 727.42 = 340.84 : x
  2. Step 2: Convert to fraction form
    527.29/727.42 = 340.84/x
  3. Step 3: Cross multiply
    527.29x = 727.42 × 340.84
  4. Step 4: Simplify right side
    527.29x = 247,933.25
  5. Step 5: Solve for x
    x = 247,933.25/527.29
  6. Step 6: Final answer
    x = 470.20

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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.