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Finding the Fourth Proportional to 583.51, 874.66 and 294.34

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Solution

The fourth proportional to 583.51, 874.66 and 294.34 is: 441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.51 : 874.66 = 294.34 : x
  2. Step 2: Convert to fraction form
    583.51/874.66 = 294.34/x
  3. Step 3: Cross multiply
    583.51x = 874.66 × 294.34
  4. Step 4: Simplify right side
    583.51x = 257,447.42
  5. Step 5: Solve for x
    x = 257,447.42/583.51
  6. Step 6: Final answer
    x = 441.20

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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.