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Finding the Fourth Proportional to 470.32, 705.57 and 236.07

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Solution

The fourth proportional to 470.32, 705.57 and 236.07 is: 354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.32 : 705.57 = 236.07 : x
  2. Step 2: Convert to fraction form
    470.32/705.57 = 236.07/x
  3. Step 3: Cross multiply
    470.32x = 705.57 × 236.07
  4. Step 4: Simplify right side
    470.32x = 166,563.91
  5. Step 5: Solve for x
    x = 166,563.91/470.32
  6. Step 6: Final answer
    x = 354.15

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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.