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Finding the Fourth Proportional to 567.18, 845.20 and 562.39

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Solution

The fourth proportional to 567.18, 845.20 and 562.39 is: 838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 845.20 = 562.39 : x
  2. Step 2: Convert to fraction form
    567.18/845.20 = 562.39/x
  3. Step 3: Cross multiply
    567.18x = 845.20 × 562.39
  4. Step 4: Simplify right side
    567.18x = 475,336.56
  5. Step 5: Solve for x
    x = 475,336.56/567.18
  6. Step 6: Final answer
    x = 838.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.