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Finding the Fourth Proportional to 470.13, 649.02 and 364.98

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Solution

The fourth proportional to 470.13, 649.02 and 364.98 is: 503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.13 : 649.02 = 364.98 : x
  2. Step 2: Convert to fraction form
    470.13/649.02 = 364.98/x
  3. Step 3: Cross multiply
    470.13x = 649.02 × 364.98
  4. Step 4: Simplify right side
    470.13x = 236,879.32
  5. Step 5: Solve for x
    x = 236,879.32/470.13
  6. Step 6: Final answer
    x = 503.86

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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.