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Finding the Fourth Proportional to 574.16, 790.44 and 442.94

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Solution

The fourth proportional to 574.16, 790.44 and 442.94 is: 609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 790.44 = 442.94 : x
  2. Step 2: Convert to fraction form
    574.16/790.44 = 442.94/x
  3. Step 3: Cross multiply
    574.16x = 790.44 × 442.94
  4. Step 4: Simplify right side
    574.16x = 350,117.49
  5. Step 5: Solve for x
    x = 350,117.49/574.16
  6. Step 6: Final answer
    x = 609.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.