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Finding the Fourth Proportional to 317.16, 438.84 and 278.46

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Solution

The fourth proportional to 317.16, 438.84 and 278.46 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.16 : 438.84 = 278.46 : x
  2. Step 2: Convert to fraction form
    317.16/438.84 = 278.46/x
  3. Step 3: Cross multiply
    317.16x = 438.84 × 278.46
  4. Step 4: Simplify right side
    317.16x = 122,199.39
  5. Step 5: Solve for x
    x = 122,199.39/317.16
  6. Step 6: Final answer
    x = 385.29

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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.