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Finding the Fourth Proportional to 572.09, 856.29 and 377.25

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Solution

The fourth proportional to 572.09, 856.29 and 377.25 is: 564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.09 : 856.29 = 377.25 : x
  2. Step 2: Convert to fraction form
    572.09/856.29 = 377.25/x
  3. Step 3: Cross multiply
    572.09x = 856.29 × 377.25
  4. Step 4: Simplify right side
    572.09x = 323,029.23
  5. Step 5: Solve for x
    x = 323,029.23/572.09
  6. Step 6: Final answer
    x = 564.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.