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Finding the Fourth Proportional to 583.48, 875.34 and 258.76

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Solution

The fourth proportional to 583.48, 875.34 and 258.76 is: 388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.48 : 875.34 = 258.76 : x
  2. Step 2: Convert to fraction form
    583.48/875.34 = 258.76/x
  3. Step 3: Cross multiply
    583.48x = 875.34 × 258.76
  4. Step 4: Simplify right side
    583.48x = 226,502.98
  5. Step 5: Solve for x
    x = 226,502.98/583.48
  6. Step 6: Final answer
    x = 388.19

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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.