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Finding the Fourth Proportional to 341.61, 471.37 and 208.77

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Solution

The fourth proportional to 341.61, 471.37 and 208.77 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.61 : 471.37 = 208.77 : x
  2. Step 2: Convert to fraction form
    341.61/471.37 = 208.77/x
  3. Step 3: Cross multiply
    341.61x = 471.37 × 208.77
  4. Step 4: Simplify right side
    341.61x = 98,407.91
  5. Step 5: Solve for x
    x = 98,407.91/341.61
  6. Step 6: Final answer
    x = 288.07

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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.