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Finding the Fourth Proportional to 574.77, 860.96 and 477.04

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Solution

The fourth proportional to 574.77, 860.96 and 477.04 is: 714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.77 : 860.96 = 477.04 : x
  2. Step 2: Convert to fraction form
    574.77/860.96 = 477.04/x
  3. Step 3: Cross multiply
    574.77x = 860.96 × 477.04
  4. Step 4: Simplify right side
    574.77x = 410,712.36
  5. Step 5: Solve for x
    x = 410,712.36/574.77
  6. Step 6: Final answer
    x = 714.57

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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.