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Finding the Fourth Proportional to 451.99, 623.12 and 346.69

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Solution

The fourth proportional to 451.99, 623.12 and 346.69 is: 477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.99 : 623.12 = 346.69 : x
  2. Step 2: Convert to fraction form
    451.99/623.12 = 346.69/x
  3. Step 3: Cross multiply
    451.99x = 623.12 × 346.69
  4. Step 4: Simplify right side
    451.99x = 216,029.47
  5. Step 5: Solve for x
    x = 216,029.47/451.99
  6. Step 6: Final answer
    x = 477.95

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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.