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Finding the Fourth Proportional to 410.55, 566.18 and 305.90

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Solution

The fourth proportional to 410.55, 566.18 and 305.90 is: 421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.55 : 566.18 = 305.90 : x
  2. Step 2: Convert to fraction form
    410.55/566.18 = 305.90/x
  3. Step 3: Cross multiply
    410.55x = 566.18 × 305.90
  4. Step 4: Simplify right side
    410.55x = 173,193.81
  5. Step 5: Solve for x
    x = 173,193.81/410.55
  6. Step 6: Final answer
    x = 421.86

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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.