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Finding the Fourth Proportional to 410.40, 566.19 and 382.86

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Solution

The fourth proportional to 410.40, 566.19 and 382.86 is: 528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.40 : 566.19 = 382.86 : x
  2. Step 2: Convert to fraction form
    410.40/566.19 = 382.86/x
  3. Step 3: Cross multiply
    410.40x = 566.19 × 382.86
  4. Step 4: Simplify right side
    410.40x = 216,771.50
  5. Step 5: Solve for x
    x = 216,771.50/410.40
  6. Step 6: Final answer
    x = 528.20

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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.