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Finding the Fourth Proportional to 586.57, 809.42 and 350.48

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Solution

The fourth proportional to 586.57, 809.42 and 350.48 is: 483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.57 : 809.42 = 350.48 : x
  2. Step 2: Convert to fraction form
    586.57/809.42 = 350.48/x
  3. Step 3: Cross multiply
    586.57x = 809.42 × 350.48
  4. Step 4: Simplify right side
    586.57x = 283,682.23
  5. Step 5: Solve for x
    x = 283,682.23/586.57
  6. Step 6: Final answer
    x = 483.63

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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.