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Finding the Fourth Proportional to 309, 463.71 and 116.64

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Solution

The fourth proportional to 309, 463.71 and 116.64 is: 175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 463.71 = 116.64 : x
  2. Step 2: Convert to fraction form
    309/463.71 = 116.64/x
  3. Step 3: Cross multiply
    309x = 463.71 × 116.64
  4. Step 4: Simplify right side
    309x = 54,087.13
  5. Step 5: Solve for x
    x = 54,087.13/309
  6. Step 6: Final answer
    x = 175.04

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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.