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Finding the Fourth Proportional to 583.68, 805.68 and 362.82

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Solution

The fourth proportional to 583.68, 805.68 and 362.82 is: 500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.68 : 805.68 = 362.82 : x
  2. Step 2: Convert to fraction form
    583.68/805.68 = 362.82/x
  3. Step 3: Cross multiply
    583.68x = 805.68 × 362.82
  4. Step 4: Simplify right side
    583.68x = 292,316.82
  5. Step 5: Solve for x
    x = 292,316.82/583.68
  6. Step 6: Final answer
    x = 500.82

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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.