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Finding the Fourth Proportional to 586.13, 809.04 and 376.26

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Solution

The fourth proportional to 586.13, 809.04 and 376.26 is: 519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.13 : 809.04 = 376.26 : x
  2. Step 2: Convert to fraction form
    586.13/809.04 = 376.26/x
  3. Step 3: Cross multiply
    586.13x = 809.04 × 376.26
  4. Step 4: Simplify right side
    586.13x = 304,409.39
  5. Step 5: Solve for x
    x = 304,409.39/586.13
  6. Step 6: Final answer
    x = 519.36

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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.