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Finding the Fourth Proportional to 416.60, 575.06 and 306.94

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Solution

The fourth proportional to 416.60, 575.06 and 306.94 is: 423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.60 : 575.06 = 306.94 : x
  2. Step 2: Convert to fraction form
    416.60/575.06 = 306.94/x
  3. Step 3: Cross multiply
    416.60x = 575.06 × 306.94
  4. Step 4: Simplify right side
    416.60x = 176,508.92
  5. Step 5: Solve for x
    x = 176,508.92/416.60
  6. Step 6: Final answer
    x = 423.69

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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.