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Finding the Fourth Proportional to 390.41, 584.85 and 260.10

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Solution

The fourth proportional to 390.41, 584.85 and 260.10 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.41 : 584.85 = 260.10 : x
  2. Step 2: Convert to fraction form
    390.41/584.85 = 260.10/x
  3. Step 3: Cross multiply
    390.41x = 584.85 × 260.10
  4. Step 4: Simplify right side
    390.41x = 152,119.49
  5. Step 5: Solve for x
    x = 152,119.49/390.41
  6. Step 6: Final answer
    x = 389.64

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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.