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Finding the Fourth Proportional to 536.67, 803.88 and 390.33

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Solution

The fourth proportional to 536.67, 803.88 and 390.33 is: 584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.67 : 803.88 = 390.33 : x
  2. Step 2: Convert to fraction form
    536.67/803.88 = 390.33/x
  3. Step 3: Cross multiply
    536.67x = 803.88 × 390.33
  4. Step 4: Simplify right side
    536.67x = 313,778.48
  5. Step 5: Solve for x
    x = 313,778.48/536.67
  6. Step 6: Final answer
    x = 584.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.