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Finding the Fourth Proportional to 586.19, 808.91 and 365.14

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Solution

The fourth proportional to 586.19, 808.91 and 365.14 is: 503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.19 : 808.91 = 365.14 : x
  2. Step 2: Convert to fraction form
    586.19/808.91 = 365.14/x
  3. Step 3: Cross multiply
    586.19x = 808.91 × 365.14
  4. Step 4: Simplify right side
    586.19x = 295,361.55
  5. Step 5: Solve for x
    x = 295,361.55/586.19
  6. Step 6: Final answer
    x = 503.87

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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.