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Finding the Fourth Proportional to 473.09, 707.94 and 412.88

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Solution

The fourth proportional to 473.09, 707.94 and 412.88 is: 617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.09 : 707.94 = 412.88 : x
  2. Step 2: Convert to fraction form
    473.09/707.94 = 412.88/x
  3. Step 3: Cross multiply
    473.09x = 707.94 × 412.88
  4. Step 4: Simplify right side
    473.09x = 292,290.73
  5. Step 5: Solve for x
    x = 292,290.73/473.09
  6. Step 6: Final answer
    x = 617.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.