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Finding the Fourth Proportional to 567.08, 843.41 and 565.16

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Solution

The fourth proportional to 567.08, 843.41 and 565.16 is: 840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.08 : 843.41 = 565.16 : x
  2. Step 2: Convert to fraction form
    567.08/843.41 = 565.16/x
  3. Step 3: Cross multiply
    567.08x = 843.41 × 565.16
  4. Step 4: Simplify right side
    567.08x = 476,661.60
  5. Step 5: Solve for x
    x = 476,661.60/567.08
  6. Step 6: Final answer
    x = 840.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.