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Finding the Fourth Proportional to 585.63, 808.00 and 364.45

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Solution

The fourth proportional to 585.63, 808.00 and 364.45 is: 502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.63 : 808.00 = 364.45 : x
  2. Step 2: Convert to fraction form
    585.63/808.00 = 364.45/x
  3. Step 3: Cross multiply
    585.63x = 808.00 × 364.45
  4. Step 4: Simplify right side
    585.63x = 294,475.21
  5. Step 5: Solve for x
    x = 294,475.21/585.63
  6. Step 6: Final answer
    x = 502.83

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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.