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Finding the Fourth Proportional to 586.65, 809.73 and 365.48

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Solution

The fourth proportional to 586.65, 809.73 and 365.48 is: 504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.65 : 809.73 = 365.48 : x
  2. Step 2: Convert to fraction form
    586.65/809.73 = 365.48/x
  3. Step 3: Cross multiply
    586.65x = 809.73 × 365.48
  4. Step 4: Simplify right side
    586.65x = 295,940.77
  5. Step 5: Solve for x
    x = 295,940.77/586.65
  6. Step 6: Final answer
    x = 504.46

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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.