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Finding the Fourth Proportional to 417.19, 625.10 and 185.74

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Solution

The fourth proportional to 417.19, 625.10 and 185.74 is: 278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.19 : 625.10 = 185.74 : x
  2. Step 2: Convert to fraction form
    417.19/625.10 = 185.74/x
  3. Step 3: Cross multiply
    417.19x = 625.10 × 185.74
  4. Step 4: Simplify right side
    417.19x = 116,106.07
  5. Step 5: Solve for x
    x = 116,106.07/417.19
  6. Step 6: Final answer
    x = 278.31

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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.