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Finding the Fourth Proportional to 569.81, 854.93 and 185.06

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Solution

The fourth proportional to 569.81, 854.93 and 185.06 is: 277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.81 : 854.93 = 185.06 : x
  2. Step 2: Convert to fraction form
    569.81/854.93 = 185.06/x
  3. Step 3: Cross multiply
    569.81x = 854.93 × 185.06
  4. Step 4: Simplify right side
    569.81x = 158,215.95
  5. Step 5: Solve for x
    x = 158,215.95/569.81
  6. Step 6: Final answer
    x = 277.66

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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.