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Finding the Fourth Proportional to 586.92, 809.64 and 365.64

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Solution

The fourth proportional to 586.92, 809.64 and 365.64 is: 504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.92 : 809.64 = 365.64 : x
  2. Step 2: Convert to fraction form
    586.92/809.64 = 365.64/x
  3. Step 3: Cross multiply
    586.92x = 809.64 × 365.64
  4. Step 4: Simplify right side
    586.92x = 296,036.77
  5. Step 5: Solve for x
    x = 296,036.77/586.92
  6. Step 6: Final answer
    x = 504.39

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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.