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Finding the Fourth Proportional to 586.36, 809.22 and 362.35

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Solution

The fourth proportional to 586.36, 809.22 and 362.35 is: 500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.36 : 809.22 = 362.35 : x
  2. Step 2: Convert to fraction form
    586.36/809.22 = 362.35/x
  3. Step 3: Cross multiply
    586.36x = 809.22 × 362.35
  4. Step 4: Simplify right side
    586.36x = 293,220.87
  5. Step 5: Solve for x
    x = 293,220.87/586.36
  6. Step 6: Final answer
    x = 500.07

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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.