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Finding the Fourth Proportional to 416.61, 624.65 and 355.86

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Solution

The fourth proportional to 416.61, 624.65 and 355.86 is: 533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.61 : 624.65 = 355.86 : x
  2. Step 2: Convert to fraction form
    416.61/624.65 = 355.86/x
  3. Step 3: Cross multiply
    416.61x = 624.65 × 355.86
  4. Step 4: Simplify right side
    416.61x = 222,286.17
  5. Step 5: Solve for x
    x = 222,286.17/416.61
  6. Step 6: Final answer
    x = 533.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.