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Finding the Fourth Proportional to 569.58, 854.42 and 199.32

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Solution

The fourth proportional to 569.58, 854.42 and 199.32 is: 299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.58 : 854.42 = 199.32 : x
  2. Step 2: Convert to fraction form
    569.58/854.42 = 199.32/x
  3. Step 3: Cross multiply
    569.58x = 854.42 × 199.32
  4. Step 4: Simplify right side
    569.58x = 170,302.99
  5. Step 5: Solve for x
    x = 170,302.99/569.58
  6. Step 6: Final answer
    x = 299.00

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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.