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Finding the Fourth Proportional to 381.64, 570.36 and 279.14

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Solution

The fourth proportional to 381.64, 570.36 and 279.14 is: 417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.64 : 570.36 = 279.14 : x
  2. Step 2: Convert to fraction form
    381.64/570.36 = 279.14/x
  3. Step 3: Cross multiply
    381.64x = 570.36 × 279.14
  4. Step 4: Simplify right side
    381.64x = 159,210.29
  5. Step 5: Solve for x
    x = 159,210.29/381.64
  6. Step 6: Final answer
    x = 417.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.