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Finding the Fourth Proportional to 416.58, 575.07 and 318.66

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Solution

The fourth proportional to 416.58, 575.07 and 318.66 is: 439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.58 : 575.07 = 318.66 : x
  2. Step 2: Convert to fraction form
    416.58/575.07 = 318.66/x
  3. Step 3: Cross multiply
    416.58x = 575.07 × 318.66
  4. Step 4: Simplify right side
    416.58x = 183,251.81
  5. Step 5: Solve for x
    x = 183,251.81/416.58
  6. Step 6: Final answer
    x = 439.90

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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.