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Finding the Fourth Proportional to 586.51, 809.54 and 365.33

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Solution

The fourth proportional to 586.51, 809.54 and 365.33 is: 504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.51 : 809.54 = 365.33 : x
  2. Step 2: Convert to fraction form
    586.51/809.54 = 365.33/x
  3. Step 3: Cross multiply
    586.51x = 809.54 × 365.33
  4. Step 4: Simplify right side
    586.51x = 295,749.25
  5. Step 5: Solve for x
    x = 295,749.25/586.51
  6. Step 6: Final answer
    x = 504.25

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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.