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Finding the Fourth Proportional to 586.69, 808.97 and 376.90

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Solution

The fourth proportional to 586.69, 808.97 and 376.90 is: 519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.69 : 808.97 = 376.90 : x
  2. Step 2: Convert to fraction form
    586.69/808.97 = 376.90/x
  3. Step 3: Cross multiply
    586.69x = 808.97 × 376.90
  4. Step 4: Simplify right side
    586.69x = 304,896.89
  5. Step 5: Solve for x
    x = 304,896.89/586.69
  6. Step 6: Final answer
    x = 519.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.