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Finding the Fourth Proportional to 354.86, 527.64 and 340.28

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Solution

The fourth proportional to 354.86, 527.64 and 340.28 is: 505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.86 : 527.64 = 340.28 : x
  2. Step 2: Convert to fraction form
    354.86/527.64 = 340.28/x
  3. Step 3: Cross multiply
    354.86x = 527.64 × 340.28
  4. Step 4: Simplify right side
    354.86x = 179,542.70
  5. Step 5: Solve for x
    x = 179,542.70/354.86
  6. Step 6: Final answer
    x = 505.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.