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Finding the Fourth Proportional to 412.91, 570.02 and 282.60

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Solution

The fourth proportional to 412.91, 570.02 and 282.60 is: 390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.91 : 570.02 = 282.60 : x
  2. Step 2: Convert to fraction form
    412.91/570.02 = 282.60/x
  3. Step 3: Cross multiply
    412.91x = 570.02 × 282.60
  4. Step 4: Simplify right side
    412.91x = 161,087.65
  5. Step 5: Solve for x
    x = 161,087.65/412.91
  6. Step 6: Final answer
    x = 390.13

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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.