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Finding the Fourth Proportional to 415.80, 574.00 and 283.10

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Solution

The fourth proportional to 415.80, 574.00 and 283.10 is: 390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.80 : 574.00 = 283.10 : x
  2. Step 2: Convert to fraction form
    415.80/574.00 = 283.10/x
  3. Step 3: Cross multiply
    415.80x = 574.00 × 283.10
  4. Step 4: Simplify right side
    415.80x = 162,497.41
  5. Step 5: Solve for x
    x = 162,497.41/415.80
  6. Step 6: Final answer
    x = 390.81

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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.