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Finding the Fourth Proportional to 417.19, 575.77 and 300.82

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Solution

The fourth proportional to 417.19, 575.77 and 300.82 is: 415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.19 : 575.77 = 300.82 : x
  2. Step 2: Convert to fraction form
    417.19/575.77 = 300.82/x
  3. Step 3: Cross multiply
    417.19x = 575.77 × 300.82
  4. Step 4: Simplify right side
    417.19x = 173,201.63
  5. Step 5: Solve for x
    x = 173,201.63/417.19
  6. Step 6: Final answer
    x = 415.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.