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Finding the Fourth Proportional to 417.66, 625.41 and 335.01

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Solution

The fourth proportional to 417.66, 625.41 and 335.01 is: 501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 625.41 = 335.01 : x
  2. Step 2: Convert to fraction form
    417.66/625.41 = 335.01/x
  3. Step 3: Cross multiply
    417.66x = 625.41 × 335.01
  4. Step 4: Simplify right side
    417.66x = 209,518.60
  5. Step 5: Solve for x
    x = 209,518.60/417.66
  6. Step 6: Final answer
    x = 501.65

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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.