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Finding the Fourth Proportional to 470.53, 705.79 and 145.86

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Solution

The fourth proportional to 470.53, 705.79 and 145.86 is: 218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.53 : 705.79 = 145.86 : x
  2. Step 2: Convert to fraction form
    470.53/705.79 = 145.86/x
  3. Step 3: Cross multiply
    470.53x = 705.79 × 145.86
  4. Step 4: Simplify right side
    470.53x = 102,946.53
  5. Step 5: Solve for x
    x = 102,946.53/470.53
  6. Step 6: Final answer
    x = 218.79

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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.