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Finding the Fourth Proportional to 585.64, 808.00 and 336.87

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Solution

The fourth proportional to 585.64, 808.00 and 336.87 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.64 : 808.00 = 336.87 : x
  2. Step 2: Convert to fraction form
    585.64/808.00 = 336.87/x
  3. Step 3: Cross multiply
    585.64x = 808.00 × 336.87
  4. Step 4: Simplify right side
    585.64x = 272,189.28
  5. Step 5: Solve for x
    x = 272,189.28/585.64
  6. Step 6: Final answer
    x = 464.77

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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.