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Finding the Fourth Proportional to 573.95, 861.16 and 208.77

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Solution

The fourth proportional to 573.95, 861.16 and 208.77 is: 313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.95 : 861.16 = 208.77 : x
  2. Step 2: Convert to fraction form
    573.95/861.16 = 208.77/x
  3. Step 3: Cross multiply
    573.95x = 861.16 × 208.77
  4. Step 4: Simplify right side
    573.95x = 179,784.37
  5. Step 5: Solve for x
    x = 179,784.37/573.95
  6. Step 6: Final answer
    x = 313.24

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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.