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Finding the Fourth Proportional to 588.69, 812.16 and 364.59

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Solution

The fourth proportional to 588.69, 812.16 and 364.59 is: 502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.69 : 812.16 = 364.59 : x
  2. Step 2: Convert to fraction form
    588.69/812.16 = 364.59/x
  3. Step 3: Cross multiply
    588.69x = 812.16 × 364.59
  4. Step 4: Simplify right side
    588.69x = 296,105.41
  5. Step 5: Solve for x
    x = 296,105.41/588.69
  6. Step 6: Final answer
    x = 502.99

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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.