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Finding the Fourth Proportional to 451.90, 623.76 and 294.76

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Solution

The fourth proportional to 451.90, 623.76 and 294.76 is: 406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.90 : 623.76 = 294.76 : x
  2. Step 2: Convert to fraction form
    451.90/623.76 = 294.76/x
  3. Step 3: Cross multiply
    451.90x = 623.76 × 294.76
  4. Step 4: Simplify right side
    451.90x = 183,859.50
  5. Step 5: Solve for x
    x = 183,859.50/451.90
  6. Step 6: Final answer
    x = 406.86

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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.