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Finding the Fourth Proportional to 451.98, 623.16 and 378

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Solution

The fourth proportional to 451.98, 623.16 and 378 is: 521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.98 : 623.16 = 378 : x
  2. Step 2: Convert to fraction form
    451.98/623.16 = 378/x
  3. Step 3: Cross multiply
    451.98x = 623.16 × 378
  4. Step 4: Simplify right side
    451.98x = 235,554.48
  5. Step 5: Solve for x
    x = 235,554.48/451.98
  6. Step 6: Final answer
    x = 521.16

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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.