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Finding the Fourth Proportional to 470.35, 649.05 and 304.50

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Solution

The fourth proportional to 470.35, 649.05 and 304.50 is: 420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.35 : 649.05 = 304.50 : x
  2. Step 2: Convert to fraction form
    470.35/649.05 = 304.50/x
  3. Step 3: Cross multiply
    470.35x = 649.05 × 304.50
  4. Step 4: Simplify right side
    470.35x = 197,637.02
  5. Step 5: Solve for x
    x = 197,637.02/470.35
  6. Step 6: Final answer
    x = 420.19

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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.