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Finding the Fourth Proportional to 569.95, 854.09 and 309.73

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Solution

The fourth proportional to 569.95, 854.09 and 309.73 is: 464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.95 : 854.09 = 309.73 : x
  2. Step 2: Convert to fraction form
    569.95/854.09 = 309.73/x
  3. Step 3: Cross multiply
    569.95x = 854.09 × 309.73
  4. Step 4: Simplify right side
    569.95x = 264,531.48
  5. Step 5: Solve for x
    x = 264,531.48/569.95
  6. Step 6: Final answer
    x = 464.14

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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.