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Finding the Fourth Proportional to 416.57, 624.78 and 128.00

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Solution

The fourth proportional to 416.57, 624.78 and 128.00 is: 191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.57 : 624.78 = 128.00 : x
  2. Step 2: Convert to fraction form
    416.57/624.78 = 128.00/x
  3. Step 3: Cross multiply
    416.57x = 624.78 × 128.00
  4. Step 4: Simplify right side
    416.57x = 79,973.40
  5. Step 5: Solve for x
    x = 79,973.40/416.57
  6. Step 6: Final answer
    x = 191.98

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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.