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Finding the Fourth Proportional to 586.31, 808.85 and 376.43

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Solution

The fourth proportional to 586.31, 808.85 and 376.43 is: 519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.31 : 808.85 = 376.43 : x
  2. Step 2: Convert to fraction form
    586.31/808.85 = 376.43/x
  3. Step 3: Cross multiply
    586.31x = 808.85 × 376.43
  4. Step 4: Simplify right side
    586.31x = 304,478.37
  5. Step 5: Solve for x
    x = 304,478.37/586.31
  6. Step 6: Final answer
    x = 519.32

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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.