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Finding the Fourth Proportional to 603.60, 833.21 and 470.80

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Solution

The fourth proportional to 603.60, 833.21 and 470.80 is: 649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.60 : 833.21 = 470.80 : x
  2. Step 2: Convert to fraction form
    603.60/833.21 = 470.80/x
  3. Step 3: Cross multiply
    603.60x = 833.21 × 470.80
  4. Step 4: Simplify right side
    603.60x = 392,275.27
  5. Step 5: Solve for x
    x = 392,275.27/603.60
  6. Step 6: Final answer
    x = 649.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.