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Finding the Fourth Proportional to 527.32, 727.62 and 340.84

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Solution

The fourth proportional to 527.32, 727.62 and 340.84 is: 470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.32 : 727.62 = 340.84 : x
  2. Step 2: Convert to fraction form
    527.32/727.62 = 340.84/x
  3. Step 3: Cross multiply
    527.32x = 727.62 × 340.84
  4. Step 4: Simplify right side
    527.32x = 248,002.00
  5. Step 5: Solve for x
    x = 248,002.00/527.32
  6. Step 6: Final answer
    x = 470.31

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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.