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Finding the Fourth Proportional to 583.50, 805.32 and 362.52

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Solution

The fourth proportional to 583.50, 805.32 and 362.52 is: 500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 805.32 = 362.52 : x
  2. Step 2: Convert to fraction form
    583.50/805.32 = 362.52/x
  3. Step 3: Cross multiply
    583.50x = 805.32 × 362.52
  4. Step 4: Simplify right side
    583.50x = 291,944.61
  5. Step 5: Solve for x
    x = 291,944.61/583.50
  6. Step 6: Final answer
    x = 500.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.