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Finding the Fourth Proportional to 388.62, 582.92 and 312.06

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Solution

The fourth proportional to 388.62, 582.92 and 312.06 is: 468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.62 : 582.92 = 312.06 : x
  2. Step 2: Convert to fraction form
    388.62/582.92 = 312.06/x
  3. Step 3: Cross multiply
    388.62x = 582.92 × 312.06
  4. Step 4: Simplify right side
    388.62x = 181,907.81
  5. Step 5: Solve for x
    x = 181,907.81/388.62
  6. Step 6: Final answer
    x = 468.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.