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Finding the Fourth Proportional to 567.23, 782.73 and 484.20

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Solution

The fourth proportional to 567.23, 782.73 and 484.20 is: 668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.23 : 782.73 = 484.20 : x
  2. Step 2: Convert to fraction form
    567.23/782.73 = 484.20/x
  3. Step 3: Cross multiply
    567.23x = 782.73 × 484.20
  4. Step 4: Simplify right side
    567.23x = 378,997.87
  5. Step 5: Solve for x
    x = 378,997.87/567.23
  6. Step 6: Final answer
    x = 668.16

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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.