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Finding the Fourth Proportional to 456.02, 683.39 and 395.00

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Solution

The fourth proportional to 456.02, 683.39 and 395.00 is: 591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.02 : 683.39 = 395.00 : x
  2. Step 2: Convert to fraction form
    456.02/683.39 = 395.00/x
  3. Step 3: Cross multiply
    456.02x = 683.39 × 395.00
  4. Step 4: Simplify right side
    456.02x = 269,936.62
  5. Step 5: Solve for x
    x = 269,936.62/456.02
  6. Step 6: Final answer
    x = 591.95

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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.