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Finding the Fourth Proportional to 451.48, 623.70 and 357.92

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Solution

The fourth proportional to 451.48, 623.70 and 357.92 is: 494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.48 : 623.70 = 357.92 : x
  2. Step 2: Convert to fraction form
    451.48/623.70 = 357.92/x
  3. Step 3: Cross multiply
    451.48x = 623.70 × 357.92
  4. Step 4: Simplify right side
    451.48x = 223,234.70
  5. Step 5: Solve for x
    x = 223,234.70/451.48
  6. Step 6: Final answer
    x = 494.45

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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.