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Finding the Fourth Proportional to 312.06, 430.71 and 208.50

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Solution

The fourth proportional to 312.06, 430.71 and 208.50 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.06 : 430.71 = 208.50 : x
  2. Step 2: Convert to fraction form
    312.06/430.71 = 208.50/x
  3. Step 3: Cross multiply
    312.06x = 430.71 × 208.50
  4. Step 4: Simplify right side
    312.06x = 89,803.04
  5. Step 5: Solve for x
    x = 89,803.04/312.06
  6. Step 6: Final answer
    x = 287.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.