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Finding the Fourth Proportional to 567.87, 855.66 and 467.40

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Solution

The fourth proportional to 567.87, 855.66 and 467.40 is: 704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.87 : 855.66 = 467.40 : x
  2. Step 2: Convert to fraction form
    567.87/855.66 = 467.40/x
  3. Step 3: Cross multiply
    567.87x = 855.66 × 467.40
  4. Step 4: Simplify right side
    567.87x = 399,935.48
  5. Step 5: Solve for x
    x = 399,935.48/567.87
  6. Step 6: Final answer
    x = 704.28

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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.