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Finding the Fourth Proportional to 569.50, 854.45 and 281.14

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Solution

The fourth proportional to 569.50, 854.45 and 281.14 is: 421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.50 : 854.45 = 281.14 : x
  2. Step 2: Convert to fraction form
    569.50/854.45 = 281.14/x
  3. Step 3: Cross multiply
    569.50x = 854.45 × 281.14
  4. Step 4: Simplify right side
    569.50x = 240,220.07
  5. Step 5: Solve for x
    x = 240,220.07/569.50
  6. Step 6: Final answer
    x = 421.81

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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.