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Finding the Fourth Proportional to 583.74, 805.70 and 362.86

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Solution

The fourth proportional to 583.74, 805.70 and 362.86 is: 500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 805.70 = 362.86 : x
  2. Step 2: Convert to fraction form
    583.74/805.70 = 362.86/x
  3. Step 3: Cross multiply
    583.74x = 805.70 × 362.86
  4. Step 4: Simplify right side
    583.74x = 292,356.30
  5. Step 5: Solve for x
    x = 292,356.30/583.74
  6. Step 6: Final answer
    x = 500.83

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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.