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Finding the Fourth Proportional to 592.86, 885.86 and 453.23

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Solution

The fourth proportional to 592.86, 885.86 and 453.23 is: 677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.86 : 885.86 = 453.23 : x
  2. Step 2: Convert to fraction form
    592.86/885.86 = 453.23/x
  3. Step 3: Cross multiply
    592.86x = 885.86 × 453.23
  4. Step 4: Simplify right side
    592.86x = 401,498.33
  5. Step 5: Solve for x
    x = 401,498.33/592.86
  6. Step 6: Final answer
    x = 677.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.