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Finding the Fourth Proportional to 566.22, 847.56 and 368.29

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Solution

The fourth proportional to 566.22, 847.56 and 368.29 is: 551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.22 : 847.56 = 368.29 : x
  2. Step 2: Convert to fraction form
    566.22/847.56 = 368.29/x
  3. Step 3: Cross multiply
    566.22x = 847.56 × 368.29
  4. Step 4: Simplify right side
    566.22x = 312,147.87
  5. Step 5: Solve for x
    x = 312,147.87/566.22
  6. Step 6: Final answer
    x = 551.28

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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.