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Finding the Fourth Proportional to 587.02, 809.80 and 363.03

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Solution

The fourth proportional to 587.02, 809.80 and 363.03 is: 500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.02 : 809.80 = 363.03 : x
  2. Step 2: Convert to fraction form
    587.02/809.80 = 363.03/x
  3. Step 3: Cross multiply
    587.02x = 809.80 × 363.03
  4. Step 4: Simplify right side
    587.02x = 293,981.69
  5. Step 5: Solve for x
    x = 293,981.69/587.02
  6. Step 6: Final answer
    x = 500.80

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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.