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Finding the Fourth Proportional to 417.30, 575.57 and 300.66

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Solution

The fourth proportional to 417.30, 575.57 and 300.66 is: 414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.30 : 575.57 = 300.66 : x
  2. Step 2: Convert to fraction form
    417.30/575.57 = 300.66/x
  3. Step 3: Cross multiply
    417.30x = 575.57 × 300.66
  4. Step 4: Simplify right side
    417.30x = 173,050.88
  5. Step 5: Solve for x
    x = 173,050.88/417.30
  6. Step 6: Final answer
    x = 414.69

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