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Finding the Fourth Proportional to 586.29, 808.53 and 365.09

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Solution

The fourth proportional to 586.29, 808.53 and 365.09 is: 503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.29 : 808.53 = 365.09 : x
  2. Step 2: Convert to fraction form
    586.29/808.53 = 365.09/x
  3. Step 3: Cross multiply
    586.29x = 808.53 × 365.09
  4. Step 4: Simplify right side
    586.29x = 295,182.18
  5. Step 5: Solve for x
    x = 295,182.18/586.29
  6. Step 6: Final answer
    x = 503.47

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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.