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Finding the Fourth Proportional to 497.01, 742.66 and 379.23

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Solution

The fourth proportional to 497.01, 742.66 and 379.23 is: 566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.01 : 742.66 = 379.23 : x
  2. Step 2: Convert to fraction form
    497.01/742.66 = 379.23/x
  3. Step 3: Cross multiply
    497.01x = 742.66 × 379.23
  4. Step 4: Simplify right side
    497.01x = 281,637.06
  5. Step 5: Solve for x
    x = 281,637.06/497.01
  6. Step 6: Final answer
    x = 566.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.