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Finding the Fourth Proportional to 280.02, 417.28 and 261.80

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Solution

The fourth proportional to 280.02, 417.28 and 261.80 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.02 : 417.28 = 261.80 : x
  2. Step 2: Convert to fraction form
    280.02/417.28 = 261.80/x
  3. Step 3: Cross multiply
    280.02x = 417.28 × 261.80
  4. Step 4: Simplify right side
    280.02x = 109,241.16
  5. Step 5: Solve for x
    x = 109,241.16/280.02
  6. Step 6: Final answer
    x = 390.12

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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.