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Finding the Fourth Proportional to 417.68, 625.21 and 373.66

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Solution

The fourth proportional to 417.68, 625.21 and 373.66 is: 559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.68 : 625.21 = 373.66 : x
  2. Step 2: Convert to fraction form
    417.68/625.21 = 373.66/x
  3. Step 3: Cross multiply
    417.68x = 625.21 × 373.66
  4. Step 4: Simplify right side
    417.68x = 233,616.28
  5. Step 5: Solve for x
    x = 233,616.28/417.68
  6. Step 6: Final answer
    x = 559.31

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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.