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Finding the Fourth Proportional to 474.48, 707.94 and 393.84

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Solution

The fourth proportional to 474.48, 707.94 and 393.84 is: 587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.48 : 707.94 = 393.84 : x
  2. Step 2: Convert to fraction form
    474.48/707.94 = 393.84/x
  3. Step 3: Cross multiply
    474.48x = 707.94 × 393.84
  4. Step 4: Simplify right side
    474.48x = 278,815.09
  5. Step 5: Solve for x
    x = 278,815.09/474.48
  6. Step 6: Final answer
    x = 587.62

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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.