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Finding the Fourth Proportional to 309.10, 463.63 and 78

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Solution

The fourth proportional to 309.10, 463.63 and 78 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.10 : 463.63 = 78 : x
  2. Step 2: Convert to fraction form
    309.10/463.63 = 78/x
  3. Step 3: Cross multiply
    309.10x = 463.63 × 78
  4. Step 4: Simplify right side
    309.10x = 36,163.14
  5. Step 5: Solve for x
    x = 36,163.14/309.10
  6. Step 6: Final answer
    x = 116.99

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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.