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Finding the Fourth Proportional to 583.82, 875 and 295.10

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Solution

The fourth proportional to 583.82, 875 and 295.10 is: 442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.82 : 875 = 295.10 : x
  2. Step 2: Convert to fraction form
    583.82/875 = 295.10/x
  3. Step 3: Cross multiply
    583.82x = 875 × 295.10
  4. Step 4: Simplify right side
    583.82x = 258,212.50
  5. Step 5: Solve for x
    x = 258,212.50/583.82
  6. Step 6: Final answer
    x = 442.28

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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.