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Finding the Fourth Proportional to 416.40, 575.40 and 318.84

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Solution

The fourth proportional to 416.40, 575.40 and 318.84 is: 440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.40 : 575.40 = 318.84 : x
  2. Step 2: Convert to fraction form
    416.40/575.40 = 318.84/x
  3. Step 3: Cross multiply
    416.40x = 575.40 × 318.84
  4. Step 4: Simplify right side
    416.40x = 183,460.54
  5. Step 5: Solve for x
    x = 183,460.54/416.40
  6. Step 6: Final answer
    x = 440.59

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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.