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Finding the Fourth Proportional to 567.14, 782.73 and 370.71

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Solution

The fourth proportional to 567.14, 782.73 and 370.71 is: 511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.14 : 782.73 = 370.71 : x
  2. Step 2: Convert to fraction form
    567.14/782.73 = 370.71/x
  3. Step 3: Cross multiply
    567.14x = 782.73 × 370.71
  4. Step 4: Simplify right side
    567.14x = 290,165.84
  5. Step 5: Solve for x
    x = 290,165.84/567.14
  6. Step 6: Final answer
    x = 511.63

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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.