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Finding the Fourth Proportional to 569.77, 854.70 and 204.64

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Solution

The fourth proportional to 569.77, 854.70 and 204.64 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.77 : 854.70 = 204.64 : x
  2. Step 2: Convert to fraction form
    569.77/854.70 = 204.64/x
  3. Step 3: Cross multiply
    569.77x = 854.70 × 204.64
  4. Step 4: Simplify right side
    569.77x = 174,905.81
  5. Step 5: Solve for x
    x = 174,905.81/569.77
  6. Step 6: Final answer
    x = 306.98

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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.