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Finding the Fourth Proportional to 944.42, 1,417.17 and 367.34

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Solution

The fourth proportional to 944.42, 1,417.17 and 367.34 is: 551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.42 : 1,417.17 = 367.34 : x
  2. Step 2: Convert to fraction form
    944.42/1,417.17 = 367.34/x
  3. Step 3: Cross multiply
    944.42x = 1,417.17 × 367.34
  4. Step 4: Simplify right side
    944.42x = 520,583.23
  5. Step 5: Solve for x
    x = 520,583.23/944.42
  6. Step 6: Final answer
    x = 551.22

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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.