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Finding the Fourth Proportional to 586.56, 809.65 and 365.70

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Solution

The fourth proportional to 586.56, 809.65 and 365.70 is: 504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.56 : 809.65 = 365.70 : x
  2. Step 2: Convert to fraction form
    586.56/809.65 = 365.70/x
  3. Step 3: Cross multiply
    586.56x = 809.65 × 365.70
  4. Step 4: Simplify right side
    586.56x = 296,089.01
  5. Step 5: Solve for x
    x = 296,089.01/586.56
  6. Step 6: Final answer
    x = 504.79

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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.