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Finding the Fourth Proportional to 280.36, 417.88 and 264.68

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Solution

The fourth proportional to 280.36, 417.88 and 264.68 is: 394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.36 : 417.88 = 264.68 : x
  2. Step 2: Convert to fraction form
    280.36/417.88 = 264.68/x
  3. Step 3: Cross multiply
    280.36x = 417.88 × 264.68
  4. Step 4: Simplify right side
    280.36x = 110,604.48
  5. Step 5: Solve for x
    x = 110,604.48/280.36
  6. Step 6: Final answer
    x = 394.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.