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Finding the Fourth Proportional to 409.60, 609.60 and 390.40

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Solution

The fourth proportional to 409.60, 609.60 and 390.40 is: 581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 609.60 = 390.40 : x
  2. Step 2: Convert to fraction form
    409.60/609.60 = 390.40/x
  3. Step 3: Cross multiply
    409.60x = 609.60 × 390.40
  4. Step 4: Simplify right side
    409.60x = 237,987.84
  5. Step 5: Solve for x
    x = 237,987.84/409.60
  6. Step 6: Final answer
    x = 581.03

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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.