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Finding the Fourth Proportional to 342.27, 510.50 and 320.22

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Solution

The fourth proportional to 342.27, 510.50 and 320.22 is: 477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.27 : 510.50 = 320.22 : x
  2. Step 2: Convert to fraction form
    342.27/510.50 = 320.22/x
  3. Step 3: Cross multiply
    342.27x = 510.50 × 320.22
  4. Step 4: Simplify right side
    342.27x = 163,473.11
  5. Step 5: Solve for x
    x = 163,473.11/342.27
  6. Step 6: Final answer
    x = 477.61

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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.