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Finding the Fourth Proportional to 901.76, 1,351.74 and 316.40

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Solution

The fourth proportional to 901.76, 1,351.74 and 316.40 is: 474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.76 : 1,351.74 = 316.40 : x
  2. Step 2: Convert to fraction form
    901.76/1,351.74 = 316.40/x
  3. Step 3: Cross multiply
    901.76x = 1,351.74 × 316.40
  4. Step 4: Simplify right side
    901.76x = 427,690.54
  5. Step 5: Solve for x
    x = 427,690.54/901.76
  6. Step 6: Final answer
    x = 474.28

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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.