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Finding the Fourth Proportional to 349.23, 521.16 and 319.80

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Solution

The fourth proportional to 349.23, 521.16 and 319.80 is: 477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.23 : 521.16 = 319.80 : x
  2. Step 2: Convert to fraction form
    349.23/521.16 = 319.80/x
  3. Step 3: Cross multiply
    349.23x = 521.16 × 319.80
  4. Step 4: Simplify right side
    349.23x = 166,666.97
  5. Step 5: Solve for x
    x = 166,666.97/349.23
  6. Step 6: Final answer
    x = 477.24

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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.