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Finding the Fourth Proportional to 569.80, 854.14 and 309.57

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Solution

The fourth proportional to 569.80, 854.14 and 309.57 is: 464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.80 : 854.14 = 309.57 : x
  2. Step 2: Convert to fraction form
    569.80/854.14 = 309.57/x
  3. Step 3: Cross multiply
    569.80x = 854.14 × 309.57
  4. Step 4: Simplify right side
    569.80x = 264,416.12
  5. Step 5: Solve for x
    x = 264,416.12/569.80
  6. Step 6: Final answer
    x = 464.05

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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.