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Finding the Fourth Proportional to 346.40, 477.73 and 299.76

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Solution

The fourth proportional to 346.40, 477.73 and 299.76 is: 413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.40 : 477.73 = 299.76 : x
  2. Step 2: Convert to fraction form
    346.40/477.73 = 299.76/x
  3. Step 3: Cross multiply
    346.40x = 477.73 × 299.76
  4. Step 4: Simplify right side
    346.40x = 143,204.34
  5. Step 5: Solve for x
    x = 143,204.34/346.40
  6. Step 6: Final answer
    x = 413.41

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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.