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Finding the Fourth Proportional to 354.18, 527.81 and 342.57

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Solution

The fourth proportional to 354.18, 527.81 and 342.57 is: 510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.18 : 527.81 = 342.57 : x
  2. Step 2: Convert to fraction form
    354.18/527.81 = 342.57/x
  3. Step 3: Cross multiply
    354.18x = 527.81 × 342.57
  4. Step 4: Simplify right side
    354.18x = 180,811.87
  5. Step 5: Solve for x
    x = 180,811.87/354.18
  6. Step 6: Final answer
    x = 510.51

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Why These Related Problems?

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