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Finding the Fourth Proportional to 883.74, 1,325.40 and 363.58

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Solution

The fourth proportional to 883.74, 1,325.40 and 363.58 is: 545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.74 : 1,325.40 = 363.58 : x
  2. Step 2: Convert to fraction form
    883.74/1,325.40 = 363.58/x
  3. Step 3: Cross multiply
    883.74x = 1,325.40 × 363.58
  4. Step 4: Simplify right side
    883.74x = 481,888.93
  5. Step 5: Solve for x
    x = 481,888.93/883.74
  6. Step 6: Final answer
    x = 545.28

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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.