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Finding the Fourth Proportional to 925.95, 1,389.24 and 309.72

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Solution

The fourth proportional to 925.95, 1,389.24 and 309.72 is: 464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.95 : 1,389.24 = 309.72 : x
  2. Step 2: Convert to fraction form
    925.95/1,389.24 = 309.72/x
  3. Step 3: Cross multiply
    925.95x = 1,389.24 × 309.72
  4. Step 4: Simplify right side
    925.95x = 430,275.41
  5. Step 5: Solve for x
    x = 430,275.41/925.95
  6. Step 6: Final answer
    x = 464.69

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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.