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Finding the Fourth Proportional to 585.83, 808.41 and 349.93

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Solution

The fourth proportional to 585.83, 808.41 and 349.93 is: 482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.83 : 808.41 = 349.93 : x
  2. Step 2: Convert to fraction form
    585.83/808.41 = 349.93/x
  3. Step 3: Cross multiply
    585.83x = 808.41 × 349.93
  4. Step 4: Simplify right side
    585.83x = 282,889.23
  5. Step 5: Solve for x
    x = 282,889.23/585.83
  6. Step 6: Final answer
    x = 482.88

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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.