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Finding the Fourth Proportional to 585.14, 807.50 and 349.02

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Solution

The fourth proportional to 585.14, 807.50 and 349.02 is: 481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.14 : 807.50 = 349.02 : x
  2. Step 2: Convert to fraction form
    585.14/807.50 = 349.02/x
  3. Step 3: Cross multiply
    585.14x = 807.50 × 349.02
  4. Step 4: Simplify right side
    585.14x = 281,834.52
  5. Step 5: Solve for x
    x = 281,834.52/585.14
  6. Step 6: Final answer
    x = 481.66

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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.