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Finding the Fourth Proportional to 416.55, 624.77 and 124.05

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Solution

The fourth proportional to 416.55, 624.77 and 124.05 is: 186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.55 : 624.77 = 124.05 : x
  2. Step 2: Convert to fraction form
    416.55/624.77 = 124.05/x
  3. Step 3: Cross multiply
    416.55x = 624.77 × 124.05
  4. Step 4: Simplify right side
    416.55x = 77,502.10
  5. Step 5: Solve for x
    x = 77,502.10/416.55
  6. Step 6: Final answer
    x = 186.06

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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.