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Finding the Fourth Proportional to 567.86, 845.34 and 541.32

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Solution

The fourth proportional to 567.86, 845.34 and 541.32 is: 805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.86 : 845.34 = 541.32 : x
  2. Step 2: Convert to fraction form
    567.86/845.34 = 541.32/x
  3. Step 3: Cross multiply
    567.86x = 845.34 × 541.32
  4. Step 4: Simplify right side
    567.86x = 457,599.45
  5. Step 5: Solve for x
    x = 457,599.45/567.86
  6. Step 6: Final answer
    x = 805.83

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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.