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Finding the Fourth Proportional to 571.17, 856.95 and 201

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Solution

The fourth proportional to 571.17, 856.95 and 201 is: 301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.17 : 856.95 = 201 : x
  2. Step 2: Convert to fraction form
    571.17/856.95 = 201/x
  3. Step 3: Cross multiply
    571.17x = 856.95 × 201
  4. Step 4: Simplify right side
    571.17x = 172,246.95
  5. Step 5: Solve for x
    x = 172,246.95/571.17
  6. Step 6: Final answer
    x = 301.57

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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.