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Finding the Fourth Proportional to 583.79, 874.87 and 294.89

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Solution

The fourth proportional to 583.79, 874.87 and 294.89 is: 441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.79 : 874.87 = 294.89 : x
  2. Step 2: Convert to fraction form
    583.79/874.87 = 294.89/x
  3. Step 3: Cross multiply
    583.79x = 874.87 × 294.89
  4. Step 4: Simplify right side
    583.79x = 257,985.30
  5. Step 5: Solve for x
    x = 257,985.30/583.79
  6. Step 6: Final answer
    x = 441.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.