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Finding the Fourth Proportional to 583.34, 874.16 and 294.38

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Solution

The fourth proportional to 583.34, 874.16 and 294.38 is: 441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.34 : 874.16 = 294.38 : x
  2. Step 2: Convert to fraction form
    583.34/874.16 = 294.38/x
  3. Step 3: Cross multiply
    583.34x = 874.16 × 294.38
  4. Step 4: Simplify right side
    583.34x = 257,335.22
  5. Step 5: Solve for x
    x = 257,335.22/583.34
  6. Step 6: Final answer
    x = 441.14

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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.