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Finding the Fourth Proportional to 470.24, 700.59 and 447.00

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Solution

The fourth proportional to 470.24, 700.59 and 447.00 is: 665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 700.59 = 447.00 : x
  2. Step 2: Convert to fraction form
    470.24/700.59 = 447.00/x
  3. Step 3: Cross multiply
    470.24x = 700.59 × 447.00
  4. Step 4: Simplify right side
    470.24x = 313,165.46
  5. Step 5: Solve for x
    x = 313,165.46/470.24
  6. Step 6: Final answer
    x = 665.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.