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Finding the Fourth Proportional to 390, 581.66 and 381.90

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Solution

The fourth proportional to 390, 581.66 and 381.90 is: 569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390 : 581.66 = 381.90 : x
  2. Step 2: Convert to fraction form
    390/581.66 = 381.90/x
  3. Step 3: Cross multiply
    390x = 581.66 × 381.90
  4. Step 4: Simplify right side
    390x = 222,135.95
  5. Step 5: Solve for x
    x = 222,135.95/390
  6. Step 6: Final answer
    x = 569.58

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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.