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Finding the Fourth Proportional to 451.64, 623.22 and 277.16

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Solution

The fourth proportional to 451.64, 623.22 and 277.16 is: 382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.64 : 623.22 = 277.16 : x
  2. Step 2: Convert to fraction form
    451.64/623.22 = 277.16/x
  3. Step 3: Cross multiply
    451.64x = 623.22 × 277.16
  4. Step 4: Simplify right side
    451.64x = 172,731.66
  5. Step 5: Solve for x
    x = 172,731.66/451.64
  6. Step 6: Final answer
    x = 382.45

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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.