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Finding the Fourth Proportional to 390.20, 583.06 and 340.80

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Solution

The fourth proportional to 390.20, 583.06 and 340.80 is: 509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.20 : 583.06 = 340.80 : x
  2. Step 2: Convert to fraction form
    390.20/583.06 = 340.80/x
  3. Step 3: Cross multiply
    390.20x = 583.06 × 340.80
  4. Step 4: Simplify right side
    390.20x = 198,706.85
  5. Step 5: Solve for x
    x = 198,706.85/390.20
  6. Step 6: Final answer
    x = 509.24

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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.