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Finding the Fourth Proportional to 569.31, 786.40 and 459.20

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Solution

The fourth proportional to 569.31, 786.40 and 459.20 is: 634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.31 : 786.40 = 459.20 : x
  2. Step 2: Convert to fraction form
    569.31/786.40 = 459.20/x
  3. Step 3: Cross multiply
    569.31x = 786.40 × 459.20
  4. Step 4: Simplify right side
    569.31x = 361,114.88
  5. Step 5: Solve for x
    x = 361,114.88/569.31
  6. Step 6: Final answer
    x = 634.30

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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.