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Finding the Fourth Proportional to 567.92, 783.24 and 357.86

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Solution

The fourth proportional to 567.92, 783.24 and 357.86 is: 493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.92 : 783.24 = 357.86 : x
  2. Step 2: Convert to fraction form
    567.92/783.24 = 357.86/x
  3. Step 3: Cross multiply
    567.92x = 783.24 × 357.86
  4. Step 4: Simplify right side
    567.92x = 280,290.27
  5. Step 5: Solve for x
    x = 280,290.27/567.92
  6. Step 6: Final answer
    x = 493.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.