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Finding the Fourth Proportional to 567.86, 783.72 and 371.42

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Solution

The fourth proportional to 567.86, 783.72 and 371.42 is: 512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.86 : 783.72 = 371.42 : x
  2. Step 2: Convert to fraction form
    567.86/783.72 = 371.42/x
  3. Step 3: Cross multiply
    567.86x = 783.72 × 371.42
  4. Step 4: Simplify right side
    567.86x = 291,089.28
  5. Step 5: Solve for x
    x = 291,089.28/567.86
  6. Step 6: Final answer
    x = 512.61

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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.