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Finding the Fourth Proportional to 470.30, 649.69 and 340.00

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Solution

The fourth proportional to 470.30, 649.69 and 340.00 is: 469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.30 : 649.69 = 340.00 : x
  2. Step 2: Convert to fraction form
    470.30/649.69 = 340.00/x
  3. Step 3: Cross multiply
    470.30x = 649.69 × 340.00
  4. Step 4: Simplify right side
    470.30x = 220,892.13
  5. Step 5: Solve for x
    x = 220,892.13/470.30
  6. Step 6: Final answer
    x = 469.69

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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.