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Finding the Fourth Proportional to 588.80, 812.82 and 368.07

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Solution

The fourth proportional to 588.80, 812.82 and 368.07 is: 508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.80 : 812.82 = 368.07 : x
  2. Step 2: Convert to fraction form
    588.80/812.82 = 368.07/x
  3. Step 3: Cross multiply
    588.80x = 812.82 × 368.07
  4. Step 4: Simplify right side
    588.80x = 299,176.69
  5. Step 5: Solve for x
    x = 299,176.69/588.80
  6. Step 6: Final answer
    x = 508.11

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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.