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Finding the Fourth Proportional to 346.08, 477 and 262.92

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Solution

The fourth proportional to 346.08, 477 and 262.92 is: 362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.08 : 477 = 262.92 : x
  2. Step 2: Convert to fraction form
    346.08/477 = 262.92/x
  3. Step 3: Cross multiply
    346.08x = 477 × 262.92
  4. Step 4: Simplify right side
    346.08x = 125,412.84
  5. Step 5: Solve for x
    x = 125,412.84/346.08
  6. Step 6: Final answer
    x = 362.38

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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.