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Finding the Fourth Proportional to 417.02, 625.55 and 185.76

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Solution

The fourth proportional to 417.02, 625.55 and 185.76 is: 278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.02 : 625.55 = 185.76 : x
  2. Step 2: Convert to fraction form
    417.02/625.55 = 185.76/x
  3. Step 3: Cross multiply
    417.02x = 625.55 × 185.76
  4. Step 4: Simplify right side
    417.02x = 116,201.24
  5. Step 5: Solve for x
    x = 116,201.24/417.02
  6. Step 6: Final answer
    x = 278.65

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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.