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Finding the Fourth Proportional to 572.17, 856.81 and 328.27

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Solution

The fourth proportional to 572.17, 856.81 and 328.27 is: 491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.17 : 856.81 = 328.27 : x
  2. Step 2: Convert to fraction form
    572.17/856.81 = 328.27/x
  3. Step 3: Cross multiply
    572.17x = 856.81 × 328.27
  4. Step 4: Simplify right side
    572.17x = 281,265.02
  5. Step 5: Solve for x
    x = 281,265.02/572.17
  6. Step 6: Final answer
    x = 491.58

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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.