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Finding the Fourth Proportional to 860.14, 1,289.88 and 312.28

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Solution

The fourth proportional to 860.14, 1,289.88 and 312.28 is: 468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.14 : 1,289.88 = 312.28 : x
  2. Step 2: Convert to fraction form
    860.14/1,289.88 = 312.28/x
  3. Step 3: Cross multiply
    860.14x = 1,289.88 × 312.28
  4. Step 4: Simplify right side
    860.14x = 402,803.73
  5. Step 5: Solve for x
    x = 402,803.73/860.14
  6. Step 6: Final answer
    x = 468.30

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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.