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Finding the Fourth Proportional to 586.70, 809.02 and 376.89

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Solution

The fourth proportional to 586.70, 809.02 and 376.89 is: 519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.70 : 809.02 = 376.89 : x
  2. Step 2: Convert to fraction form
    586.70/809.02 = 376.89/x
  3. Step 3: Cross multiply
    586.70x = 809.02 × 376.89
  4. Step 4: Simplify right side
    586.70x = 304,911.55
  5. Step 5: Solve for x
    x = 304,911.55/586.70
  6. Step 6: Final answer
    x = 519.71

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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.