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Finding the Fourth Proportional to 649.22, 895.86 and 383.81

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Solution

The fourth proportional to 649.22, 895.86 and 383.81 is: 529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.22 : 895.86 = 383.81 : x
  2. Step 2: Convert to fraction form
    649.22/895.86 = 383.81/x
  3. Step 3: Cross multiply
    649.22x = 895.86 × 383.81
  4. Step 4: Simplify right side
    649.22x = 343,835.55
  5. Step 5: Solve for x
    x = 343,835.55/649.22
  6. Step 6: Final answer
    x = 529.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.