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Finding the Fourth Proportional to 571.84, 856.95 and 311.28

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Solution

The fourth proportional to 571.84, 856.95 and 311.28 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.84 : 856.95 = 311.28 : x
  2. Step 2: Convert to fraction form
    571.84/856.95 = 311.28/x
  3. Step 3: Cross multiply
    571.84x = 856.95 × 311.28
  4. Step 4: Simplify right side
    571.84x = 266,747.02
  5. Step 5: Solve for x
    x = 266,747.02/571.84
  6. Step 6: Final answer
    x = 466.47

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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.