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Finding the Fourth Proportional to 309.50, 463.78 and 286.72

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Solution

The fourth proportional to 309.50, 463.78 and 286.72 is: 429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 463.78 = 286.72 : x
  2. Step 2: Convert to fraction form
    309.50/463.78 = 286.72/x
  3. Step 3: Cross multiply
    309.50x = 463.78 × 286.72
  4. Step 4: Simplify right side
    309.50x = 132,975.00
  5. Step 5: Solve for x
    x = 132,975.00/309.50
  6. Step 6: Final answer
    x = 429.64

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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.