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Finding the Fourth Proportional to 566.23, 849.96 and 475.92

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Solution

The fourth proportional to 566.23, 849.96 and 475.92 is: 714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.23 : 849.96 = 475.92 : x
  2. Step 2: Convert to fraction form
    566.23/849.96 = 475.92/x
  3. Step 3: Cross multiply
    566.23x = 849.96 × 475.92
  4. Step 4: Simplify right side
    566.23x = 404,512.96
  5. Step 5: Solve for x
    x = 404,512.96/566.23
  6. Step 6: Final answer
    x = 714.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.