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Finding the Fourth Proportional to 572.39, 859.76 and 377.67

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Solution

The fourth proportional to 572.39, 859.76 and 377.67 is: 567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.39 : 859.76 = 377.67 : x
  2. Step 2: Convert to fraction form
    572.39/859.76 = 377.67/x
  3. Step 3: Cross multiply
    572.39x = 859.76 × 377.67
  4. Step 4: Simplify right side
    572.39x = 324,703.67
  5. Step 5: Solve for x
    x = 324,703.67/572.39
  6. Step 6: Final answer
    x = 567.28

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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.