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Finding the Fourth Proportional to 567.98, 855.86 and 467.52

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Solution

The fourth proportional to 567.98, 855.86 and 467.52 is: 704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.98 : 855.86 = 467.52 : x
  2. Step 2: Convert to fraction form
    567.98/855.86 = 467.52/x
  3. Step 3: Cross multiply
    567.98x = 855.86 × 467.52
  4. Step 4: Simplify right side
    567.98x = 400,131.67
  5. Step 5: Solve for x
    x = 400,131.67/567.98
  6. Step 6: Final answer
    x = 704.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.