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Finding the Fourth Proportional to 567.06, 849.48 and 284.79

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Solution

The fourth proportional to 567.06, 849.48 and 284.79 is: 426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.06 : 849.48 = 284.79 : x
  2. Step 2: Convert to fraction form
    567.06/849.48 = 284.79/x
  3. Step 3: Cross multiply
    567.06x = 849.48 × 284.79
  4. Step 4: Simplify right side
    567.06x = 241,923.41
  5. Step 5: Solve for x
    x = 241,923.41/567.06
  6. Step 6: Final answer
    x = 426.63

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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.