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Finding the Fourth Proportional to 390.58, 586.43 and 243.90

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Solution

The fourth proportional to 390.58, 586.43 and 243.90 is: 366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.58 : 586.43 = 243.90 : x
  2. Step 2: Convert to fraction form
    390.58/586.43 = 243.90/x
  3. Step 3: Cross multiply
    390.58x = 586.43 × 243.90
  4. Step 4: Simplify right side
    390.58x = 143,029.97
  5. Step 5: Solve for x
    x = 143,029.97/390.58
  6. Step 6: Final answer
    x = 366.20

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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.