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Finding the Fourth Proportional to 470.29, 649.14 and 304.50

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Solution

The fourth proportional to 470.29, 649.14 and 304.50 is: 420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.29 : 649.14 = 304.50 : x
  2. Step 2: Convert to fraction form
    470.29/649.14 = 304.50/x
  3. Step 3: Cross multiply
    470.29x = 649.14 × 304.50
  4. Step 4: Simplify right side
    470.29x = 197,663.13
  5. Step 5: Solve for x
    x = 197,663.13/470.29
  6. Step 6: Final answer
    x = 420.30

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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.