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Finding the Fourth Proportional to 584.06, 805.66 and 362.86

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Solution

The fourth proportional to 584.06, 805.66 and 362.86 is: 500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 805.66 = 362.86 : x
  2. Step 2: Convert to fraction form
    584.06/805.66 = 362.86/x
  3. Step 3: Cross multiply
    584.06x = 805.66 × 362.86
  4. Step 4: Simplify right side
    584.06x = 292,341.79
  5. Step 5: Solve for x
    x = 292,341.79/584.06
  6. Step 6: Final answer
    x = 500.53

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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.