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Finding the Fourth Proportional to 586.43, 809.60 and 400.20

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Solution

The fourth proportional to 586.43, 809.60 and 400.20 is: 552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.43 : 809.60 = 400.20 : x
  2. Step 2: Convert to fraction form
    586.43/809.60 = 400.20/x
  3. Step 3: Cross multiply
    586.43x = 809.60 × 400.20
  4. Step 4: Simplify right side
    586.43x = 323,995.87
  5. Step 5: Solve for x
    x = 323,995.87/586.43
  6. Step 6: Final answer
    x = 552.49

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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.