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Finding the Fourth Proportional to 474.90, 708.45 and 441.75

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Solution

The fourth proportional to 474.90, 708.45 and 441.75 is: 659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.90 : 708.45 = 441.75 : x
  2. Step 2: Convert to fraction form
    474.90/708.45 = 441.75/x
  3. Step 3: Cross multiply
    474.90x = 708.45 × 441.75
  4. Step 4: Simplify right side
    474.90x = 312,958.79
  5. Step 5: Solve for x
    x = 312,958.79/474.90
  6. Step 6: Final answer
    x = 659.00

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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.