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Finding the Fourth Proportional to 567.32, 851.25 and 259.13

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Solution

The fourth proportional to 567.32, 851.25 and 259.13 is: 388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.32 : 851.25 = 259.13 : x
  2. Step 2: Convert to fraction form
    567.32/851.25 = 259.13/x
  3. Step 3: Cross multiply
    567.32x = 851.25 × 259.13
  4. Step 4: Simplify right side
    567.32x = 220,580.16
  5. Step 5: Solve for x
    x = 220,580.16/567.32
  6. Step 6: Final answer
    x = 388.81

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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.