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Finding the Fourth Proportional to 280.08, 417.54 and 257.04

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Solution

The fourth proportional to 280.08, 417.54 and 257.04 is: 383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.08 : 417.54 = 257.04 : x
  2. Step 2: Convert to fraction form
    280.08/417.54 = 257.04/x
  3. Step 3: Cross multiply
    280.08x = 417.54 × 257.04
  4. Step 4: Simplify right side
    280.08x = 107,324.48
  5. Step 5: Solve for x
    x = 107,324.48/280.08
  6. Step 6: Final answer
    x = 383.19

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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.