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Finding the Fourth Proportional to 585.52, 807.82 and 349.50

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Solution

The fourth proportional to 585.52, 807.82 and 349.50 is: 482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.52 : 807.82 = 349.50 : x
  2. Step 2: Convert to fraction form
    585.52/807.82 = 349.50/x
  3. Step 3: Cross multiply
    585.52x = 807.82 × 349.50
  4. Step 4: Simplify right side
    585.52x = 282,336.08
  5. Step 5: Solve for x
    x = 282,336.08/585.52
  6. Step 6: Final answer
    x = 482.20

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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.