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Finding the Fourth Proportional to 585.34, 807.65 and 349.23

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Solution

The fourth proportional to 585.34, 807.65 and 349.23 is: 481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.34 : 807.65 = 349.23 : x
  2. Step 2: Convert to fraction form
    585.34/807.65 = 349.23/x
  3. Step 3: Cross multiply
    585.34x = 807.65 × 349.23
  4. Step 4: Simplify right side
    585.34x = 282,049.83
  5. Step 5: Solve for x
    x = 282,049.83/585.34
  6. Step 6: Final answer
    x = 481.86

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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.