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Finding the Fourth Proportional to 583.92, 875.40 and 400.77

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Solution

The fourth proportional to 583.92, 875.40 and 400.77 is: 600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 875.40 = 400.77 : x
  2. Step 2: Convert to fraction form
    583.92/875.40 = 400.77/x
  3. Step 3: Cross multiply
    583.92x = 875.40 × 400.77
  4. Step 4: Simplify right side
    583.92x = 350,834.06
  5. Step 5: Solve for x
    x = 350,834.06/583.92
  6. Step 6: Final answer
    x = 600.83

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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.