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Finding the Fourth Proportional to 585.21, 807.60 and 336.56

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Solution

The fourth proportional to 585.21, 807.60 and 336.56 is: 464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.21 : 807.60 = 336.56 : x
  2. Step 2: Convert to fraction form
    585.21/807.60 = 336.56/x
  3. Step 3: Cross multiply
    585.21x = 807.60 × 336.56
  4. Step 4: Simplify right side
    585.21x = 271,801.82
  5. Step 5: Solve for x
    x = 271,801.82/585.21
  6. Step 6: Final answer
    x = 464.45

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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.