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Finding the Fourth Proportional to 567.24, 857.07 and 564

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Solution

The fourth proportional to 567.24, 857.07 and 564 is: 852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 857.07 = 564 : x
  2. Step 2: Convert to fraction form
    567.24/857.07 = 564/x
  3. Step 3: Cross multiply
    567.24x = 857.07 × 564
  4. Step 4: Simplify right side
    567.24x = 483,387.48
  5. Step 5: Solve for x
    x = 483,387.48/567.24
  6. Step 6: Final answer
    x = 852.17

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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.