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Finding the Fourth Proportional to 569.31, 853.35 and 467.07

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Solution

The fourth proportional to 569.31, 853.35 and 467.07 is: 700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.31 : 853.35 = 467.07 : x
  2. Step 2: Convert to fraction form
    569.31/853.35 = 467.07/x
  3. Step 3: Cross multiply
    569.31x = 853.35 × 467.07
  4. Step 4: Simplify right side
    569.31x = 398,571.86
  5. Step 5: Solve for x
    x = 398,571.86/569.31
  6. Step 6: Final answer
    x = 700.10

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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.