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Finding the Fourth Proportional to 583.54, 875.54 and 309.87

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Solution

The fourth proportional to 583.54, 875.54 and 309.87 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.54 : 875.54 = 309.87 : x
  2. Step 2: Convert to fraction form
    583.54/875.54 = 309.87/x
  3. Step 3: Cross multiply
    583.54x = 875.54 × 309.87
  4. Step 4: Simplify right side
    583.54x = 271,304.35
  5. Step 5: Solve for x
    x = 271,304.35/583.54
  6. Step 6: Final answer
    x = 464.93

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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.