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Finding the Fourth Proportional to 346.27, 477.86 and 272.45

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Solution

The fourth proportional to 346.27, 477.86 and 272.45 is: 375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.27 : 477.86 = 272.45 : x
  2. Step 2: Convert to fraction form
    346.27/477.86 = 272.45/x
  3. Step 3: Cross multiply
    346.27x = 477.86 × 272.45
  4. Step 4: Simplify right side
    346.27x = 130,192.96
  5. Step 5: Solve for x
    x = 130,192.96/346.27
  6. Step 6: Final answer
    x = 375.99

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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.