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Finding the Fourth Proportional to 470.99, 705.80 and 346.62

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Solution

The fourth proportional to 470.99, 705.80 and 346.62 is: 519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.99 : 705.80 = 346.62 : x
  2. Step 2: Convert to fraction form
    470.99/705.80 = 346.62/x
  3. Step 3: Cross multiply
    470.99x = 705.80 × 346.62
  4. Step 4: Simplify right side
    470.99x = 244,642.66
  5. Step 5: Solve for x
    x = 244,642.66/470.99
  6. Step 6: Final answer
    x = 519.43

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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.