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Finding the Fourth Proportional to 925.93, 1,389.12 and 309.70

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Solution

The fourth proportional to 925.93, 1,389.12 and 309.70 is: 464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.93 : 1,389.12 = 309.70 : x
  2. Step 2: Convert to fraction form
    925.93/1,389.12 = 309.70/x
  3. Step 3: Cross multiply
    925.93x = 1,389.12 × 309.70
  4. Step 4: Simplify right side
    925.93x = 430,210.46
  5. Step 5: Solve for x
    x = 430,210.46/925.93
  6. Step 6: Final answer
    x = 464.63

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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.