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Finding the Fourth Proportional to 567.26, 782.93 and 370.83

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Solution

The fourth proportional to 567.26, 782.93 and 370.83 is: 511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.26 : 782.93 = 370.83 : x
  2. Step 2: Convert to fraction form
    567.26/782.93 = 370.83/x
  3. Step 3: Cross multiply
    567.26x = 782.93 × 370.83
  4. Step 4: Simplify right side
    567.26x = 290,333.93
  5. Step 5: Solve for x
    x = 290,333.93/567.26
  6. Step 6: Final answer
    x = 511.82

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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.