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Finding the Fourth Proportional to 280.47, 387.56 and 210.77

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Solution

The fourth proportional to 280.47, 387.56 and 210.77 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.47 : 387.56 = 210.77 : x
  2. Step 2: Convert to fraction form
    280.47/387.56 = 210.77/x
  3. Step 3: Cross multiply
    280.47x = 387.56 × 210.77
  4. Step 4: Simplify right side
    280.47x = 81,683.03
  5. Step 5: Solve for x
    x = 81,683.03/280.47
  6. Step 6: Final answer
    x = 291.24

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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.