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Finding the Fourth Proportional to 349.84, 523.95 and 319.33

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Solution

The fourth proportional to 349.84, 523.95 and 319.33 is: 478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.84 : 523.95 = 319.33 : x
  2. Step 2: Convert to fraction form
    349.84/523.95 = 319.33/x
  3. Step 3: Cross multiply
    349.84x = 523.95 × 319.33
  4. Step 4: Simplify right side
    349.84x = 167,312.95
  5. Step 5: Solve for x
    x = 167,312.95/349.84
  6. Step 6: Final answer
    x = 478.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.