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Finding the Fourth Proportional to 926.16, 1,389.12 and 276.96

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Solution

The fourth proportional to 926.16, 1,389.12 and 276.96 is: 415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.16 : 1,389.12 = 276.96 : x
  2. Step 2: Convert to fraction form
    926.16/1,389.12 = 276.96/x
  3. Step 3: Cross multiply
    926.16x = 1,389.12 × 276.96
  4. Step 4: Simplify right side
    926.16x = 384,730.68
  5. Step 5: Solve for x
    x = 384,730.68/926.16
  6. Step 6: Final answer
    x = 415.40

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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.