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Finding the Fourth Proportional to 585.83, 808.68 and 364.80

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Solution

The fourth proportional to 585.83, 808.68 and 364.80 is: 503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.83 : 808.68 = 364.80 : x
  2. Step 2: Convert to fraction form
    585.83/808.68 = 364.80/x
  3. Step 3: Cross multiply
    585.83x = 808.68 × 364.80
  4. Step 4: Simplify right side
    585.83x = 295,010.86
  5. Step 5: Solve for x
    x = 295,010.86/585.83
  6. Step 6: Final answer
    x = 503.58

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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.