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Finding the Fourth Proportional to 583.46, 874.05 and 309.14

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Solution

The fourth proportional to 583.46, 874.05 and 309.14 is: 463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.46 : 874.05 = 309.14 : x
  2. Step 2: Convert to fraction form
    583.46/874.05 = 309.14/x
  3. Step 3: Cross multiply
    583.46x = 874.05 × 309.14
  4. Step 4: Simplify right side
    583.46x = 270,203.82
  5. Step 5: Solve for x
    x = 270,203.82/583.46
  6. Step 6: Final answer
    x = 463.11

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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.