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Finding the Fourth Proportional to 417.84, 625.56 and 280.52

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Solution

The fourth proportional to 417.84, 625.56 and 280.52 is: 419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.84 : 625.56 = 280.52 : x
  2. Step 2: Convert to fraction form
    417.84/625.56 = 280.52/x
  3. Step 3: Cross multiply
    417.84x = 625.56 × 280.52
  4. Step 4: Simplify right side
    417.84x = 175,482.09
  5. Step 5: Solve for x
    x = 175,482.09/417.84
  6. Step 6: Final answer
    x = 419.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.