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Finding the Fourth Proportional to 451.70, 623.14 and 277.01

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Solution

The fourth proportional to 451.70, 623.14 and 277.01 is: 382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.70 : 623.14 = 277.01 : x
  2. Step 2: Convert to fraction form
    451.70/623.14 = 277.01/x
  3. Step 3: Cross multiply
    451.70x = 623.14 × 277.01
  4. Step 4: Simplify right side
    451.70x = 172,616.01
  5. Step 5: Solve for x
    x = 172,616.01/451.70
  6. Step 6: Final answer
    x = 382.15

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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.