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Finding the Fourth Proportional to 585.51, 807.96 and 336.80

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Solution

The fourth proportional to 585.51, 807.96 and 336.80 is: 464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.51 : 807.96 = 336.80 : x
  2. Step 2: Convert to fraction form
    585.51/807.96 = 336.80/x
  3. Step 3: Cross multiply
    585.51x = 807.96 × 336.80
  4. Step 4: Simplify right side
    585.51x = 272,116.89
  5. Step 5: Solve for x
    x = 272,116.89/585.51
  6. Step 6: Final answer
    x = 464.75

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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.