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Finding the Fourth Proportional to 566.57, 848.93 and 201.17

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Solution

The fourth proportional to 566.57, 848.93 and 201.17 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.57 : 848.93 = 201.17 : x
  2. Step 2: Convert to fraction form
    566.57/848.93 = 201.17/x
  3. Step 3: Cross multiply
    566.57x = 848.93 × 201.17
  4. Step 4: Simplify right side
    566.57x = 170,774.00
  5. Step 5: Solve for x
    x = 170,774.00/566.57
  6. Step 6: Final answer
    x = 301.42

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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.