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Finding the Fourth Proportional to 470.58, 705.78 and 128.50

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Solution

The fourth proportional to 470.58, 705.78 and 128.50 is: 192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.58 : 705.78 = 128.50 : x
  2. Step 2: Convert to fraction form
    470.58/705.78 = 128.50/x
  3. Step 3: Cross multiply
    470.58x = 705.78 × 128.50
  4. Step 4: Simplify right side
    470.58x = 90,692.73
  5. Step 5: Solve for x
    x = 90,692.73/470.58
  6. Step 6: Final answer
    x = 192.73

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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.