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Finding the Fourth Proportional to 584.05, 805.67 and 362.86

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Solution

The fourth proportional to 584.05, 805.67 and 362.86 is: 500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.05 : 805.67 = 362.86 : x
  2. Step 2: Convert to fraction form
    584.05/805.67 = 362.86/x
  3. Step 3: Cross multiply
    584.05x = 805.67 × 362.86
  4. Step 4: Simplify right side
    584.05x = 292,345.42
  5. Step 5: Solve for x
    x = 292,345.42/584.05
  6. Step 6: Final answer
    x = 500.55

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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.