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Finding the Fourth Proportional to 585.86, 808.43 and 364.64

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Solution

The fourth proportional to 585.86, 808.43 and 364.64 is: 503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.86 : 808.43 = 364.64 : x
  2. Step 2: Convert to fraction form
    585.86/808.43 = 364.64/x
  3. Step 3: Cross multiply
    585.86x = 808.43 × 364.64
  4. Step 4: Simplify right side
    585.86x = 294,780.05
  5. Step 5: Solve for x
    x = 294,780.05/585.86
  6. Step 6: Final answer
    x = 503.16

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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.