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Finding the Fourth Proportional to 319.36, 440.04 and 215.68

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Solution

The fourth proportional to 319.36, 440.04 and 215.68 is: 297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.36 : 440.04 = 215.68 : x
  2. Step 2: Convert to fraction form
    319.36/440.04 = 215.68/x
  3. Step 3: Cross multiply
    319.36x = 440.04 × 215.68
  4. Step 4: Simplify right side
    319.36x = 94,907.83
  5. Step 5: Solve for x
    x = 94,907.83/319.36
  6. Step 6: Final answer
    x = 297.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.