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Finding the Fourth Proportional to 574.14, 864.58 and 412.95

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Solution

The fourth proportional to 574.14, 864.58 and 412.95 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.14 : 864.58 = 412.95 : x
  2. Step 2: Convert to fraction form
    574.14/864.58 = 412.95/x
  3. Step 3: Cross multiply
    574.14x = 864.58 × 412.95
  4. Step 4: Simplify right side
    574.14x = 357,028.31
  5. Step 5: Solve for x
    x = 357,028.31/574.14
  6. Step 6: Final answer
    x = 621.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.