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Finding the Fourth Proportional to 557.80, 834.95 and 383.45

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Solution

The fourth proportional to 557.80, 834.95 and 383.45 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.80 : 834.95 = 383.45 : x
  2. Step 2: Convert to fraction form
    557.80/834.95 = 383.45/x
  3. Step 3: Cross multiply
    557.80x = 834.95 × 383.45
  4. Step 4: Simplify right side
    557.80x = 320,155.49
  5. Step 5: Solve for x
    x = 320,155.49/557.80
  6. Step 6: Final answer
    x = 573.96

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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.