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Finding the Fourth Proportional to 572.33, 856.06 and 352.41

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Solution

The fourth proportional to 572.33, 856.06 and 352.41 is: 527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.33 : 856.06 = 352.41 : x
  2. Step 2: Convert to fraction form
    572.33/856.06 = 352.41/x
  3. Step 3: Cross multiply
    572.33x = 856.06 × 352.41
  4. Step 4: Simplify right side
    572.33x = 301,684.10
  5. Step 5: Solve for x
    x = 301,684.10/572.33
  6. Step 6: Final answer
    x = 527.12

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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.