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Finding the Fourth Proportional to 412.83, 570.20 and 360.23

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Solution

The fourth proportional to 412.83, 570.20 and 360.23 is: 497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 570.20 = 360.23 : x
  2. Step 2: Convert to fraction form
    412.83/570.20 = 360.23/x
  3. Step 3: Cross multiply
    412.83x = 570.20 × 360.23
  4. Step 4: Simplify right side
    412.83x = 205,398.49
  5. Step 5: Solve for x
    x = 205,398.49/412.83
  6. Step 6: Final answer
    x = 497.54

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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.