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Finding the Fourth Proportional to 583.96, 805.74 and 362.92

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Solution

The fourth proportional to 583.96, 805.74 and 362.92 is: 500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.96 : 805.74 = 362.92 : x
  2. Step 2: Convert to fraction form
    583.96/805.74 = 362.92/x
  3. Step 3: Cross multiply
    583.96x = 805.74 × 362.92
  4. Step 4: Simplify right side
    583.96x = 292,419.16
  5. Step 5: Solve for x
    x = 292,419.16/583.96
  6. Step 6: Final answer
    x = 500.75

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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.