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Finding the Fourth Proportional to 586.29, 809.10 and 365.07

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Solution

The fourth proportional to 586.29, 809.10 and 365.07 is: 503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.29 : 809.10 = 365.07 : x
  2. Step 2: Convert to fraction form
    586.29/809.10 = 365.07/x
  3. Step 3: Cross multiply
    586.29x = 809.10 × 365.07
  4. Step 4: Simplify right side
    586.29x = 295,378.14
  5. Step 5: Solve for x
    x = 295,378.14/586.29
  6. Step 6: Final answer
    x = 503.81

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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.