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Finding the Fourth Proportional to 417, 575.48 and 300.76

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Solution

The fourth proportional to 417, 575.48 and 300.76 is: 415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 575.48 = 300.76 : x
  2. Step 2: Convert to fraction form
    417/575.48 = 300.76/x
  3. Step 3: Cross multiply
    417x = 575.48 × 300.76
  4. Step 4: Simplify right side
    417x = 173,081.36
  5. Step 5: Solve for x
    x = 173,081.36/417
  6. Step 6: Final answer
    x = 415.06

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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.