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Finding the Fourth Proportional to 412.83, 566.06 and 400.68

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Solution

The fourth proportional to 412.83, 566.06 and 400.68 is: 549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 566.06 = 400.68 : x
  2. Step 2: Convert to fraction form
    412.83/566.06 = 400.68/x
  3. Step 3: Cross multiply
    412.83x = 566.06 × 400.68
  4. Step 4: Simplify right side
    412.83x = 226,806.92
  5. Step 5: Solve for x
    x = 226,806.92/412.83
  6. Step 6: Final answer
    x = 549.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.