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Finding the Fourth Proportional to 346.79, 477.07 and 299.81

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Solution

The fourth proportional to 346.79, 477.07 and 299.81 is: 412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.79 : 477.07 = 299.81 : x
  2. Step 2: Convert to fraction form
    346.79/477.07 = 299.81/x
  3. Step 3: Cross multiply
    346.79x = 477.07 × 299.81
  4. Step 4: Simplify right side
    346.79x = 143,027.22
  5. Step 5: Solve for x
    x = 143,027.22/346.79
  6. Step 6: Final answer
    x = 412.44

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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.