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Finding the Fourth Proportional to 440.80, 661.20 and 278.26

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Solution

The fourth proportional to 440.80, 661.20 and 278.26 is: 417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.80 : 661.20 = 278.26 : x
  2. Step 2: Convert to fraction form
    440.80/661.20 = 278.26/x
  3. Step 3: Cross multiply
    440.80x = 661.20 × 278.26
  4. Step 4: Simplify right side
    440.80x = 183,985.51
  5. Step 5: Solve for x
    x = 183,985.51/440.80
  6. Step 6: Final answer
    x = 417.39

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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.