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Finding the Fourth Proportional to 410.32, 566.04 and 293.68

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Solution

The fourth proportional to 410.32, 566.04 and 293.68 is: 405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.32 : 566.04 = 293.68 : x
  2. Step 2: Convert to fraction form
    410.32/566.04 = 293.68/x
  3. Step 3: Cross multiply
    410.32x = 566.04 × 293.68
  4. Step 4: Simplify right side
    410.32x = 166,234.63
  5. Step 5: Solve for x
    x = 166,234.63/410.32
  6. Step 6: Final answer
    x = 405.13

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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.