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Finding the Fourth Proportional to 926.52, 1,389.17 and 309.92

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Solution

The fourth proportional to 926.52, 1,389.17 and 309.92 is: 464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.52 : 1,389.17 = 309.92 : x
  2. Step 2: Convert to fraction form
    926.52/1,389.17 = 309.92/x
  3. Step 3: Cross multiply
    926.52x = 1,389.17 × 309.92
  4. Step 4: Simplify right side
    926.52x = 430,523.07
  5. Step 5: Solve for x
    x = 430,523.07/926.52
  6. Step 6: Final answer
    x = 464.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.