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Finding the Fourth Proportional to 586.53, 808.67 and 376.33

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Solution

The fourth proportional to 586.53, 808.67 and 376.33 is: 518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.53 : 808.67 = 376.33 : x
  2. Step 2: Convert to fraction form
    586.53/808.67 = 376.33/x
  3. Step 3: Cross multiply
    586.53x = 808.67 × 376.33
  4. Step 4: Simplify right side
    586.53x = 304,326.78
  5. Step 5: Solve for x
    x = 304,326.78/586.53
  6. Step 6: Final answer
    x = 518.86

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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.