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Finding the Fourth Proportional to 567.63, 850.03 and 534.83

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Solution

The fourth proportional to 567.63, 850.03 and 534.83 is: 800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.63 : 850.03 = 534.83 : x
  2. Step 2: Convert to fraction form
    567.63/850.03 = 534.83/x
  3. Step 3: Cross multiply
    567.63x = 850.03 × 534.83
  4. Step 4: Simplify right side
    567.63x = 454,615.96
  5. Step 5: Solve for x
    x = 454,615.96/567.63
  6. Step 6: Final answer
    x = 800.90

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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.