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Finding the Fourth Proportional to 406.60, 559.62 and 390.70

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Solution

The fourth proportional to 406.60, 559.62 and 390.70 is: 537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.60 : 559.62 = 390.70 : x
  2. Step 2: Convert to fraction form
    406.60/559.62 = 390.70/x
  3. Step 3: Cross multiply
    406.60x = 559.62 × 390.70
  4. Step 4: Simplify right side
    406.60x = 218,643.53
  5. Step 5: Solve for x
    x = 218,643.53/406.60
  6. Step 6: Final answer
    x = 537.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.