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Finding the Fourth Proportional to 574.16, 860.54 and 314.30

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Solution

The fourth proportional to 574.16, 860.54 and 314.30 is: 471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 860.54 = 314.30 : x
  2. Step 2: Convert to fraction form
    574.16/860.54 = 314.30/x
  3. Step 3: Cross multiply
    574.16x = 860.54 × 314.30
  4. Step 4: Simplify right side
    574.16x = 270,467.72
  5. Step 5: Solve for x
    x = 270,467.72/574.16
  6. Step 6: Final answer
    x = 471.07

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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.