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Finding the Fourth Proportional to 319.36, 476.12 and 295.28

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Solution

The fourth proportional to 319.36, 476.12 and 295.28 is: 440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.36 : 476.12 = 295.28 : x
  2. Step 2: Convert to fraction form
    319.36/476.12 = 295.28/x
  3. Step 3: Cross multiply
    319.36x = 476.12 × 295.28
  4. Step 4: Simplify right side
    319.36x = 140,588.71
  5. Step 5: Solve for x
    x = 140,588.71/319.36
  6. Step 6: Final answer
    x = 440.22

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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.