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Finding the Fourth Proportional to 569.23, 854.66 and 543.13

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Solution

The fourth proportional to 569.23, 854.66 and 543.13 is: 815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.23 : 854.66 = 543.13 : x
  2. Step 2: Convert to fraction form
    569.23/854.66 = 543.13/x
  3. Step 3: Cross multiply
    569.23x = 854.66 × 543.13
  4. Step 4: Simplify right side
    569.23x = 464,188.77
  5. Step 5: Solve for x
    x = 464,188.77/569.23
  6. Step 6: Final answer
    x = 815.47

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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.