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Finding the Fourth Proportional to 585.35, 807.69 and 336.57

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Solution

The fourth proportional to 585.35, 807.69 and 336.57 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.35 : 807.69 = 336.57 : x
  2. Step 2: Convert to fraction form
    585.35/807.69 = 336.57/x
  3. Step 3: Cross multiply
    585.35x = 807.69 × 336.57
  4. Step 4: Simplify right side
    585.35x = 271,848.51
  5. Step 5: Solve for x
    x = 271,848.51/585.35
  6. Step 6: Final answer
    x = 464.42

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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.