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Finding the Fourth Proportional to 340.83, 470.57 and 262.00

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Solution

The fourth proportional to 340.83, 470.57 and 262.00 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.83 : 470.57 = 262.00 : x
  2. Step 2: Convert to fraction form
    340.83/470.57 = 262.00/x
  3. Step 3: Cross multiply
    340.83x = 470.57 × 262.00
  4. Step 4: Simplify right side
    340.83x = 123,291.45
  5. Step 5: Solve for x
    x = 123,291.45/340.83
  6. Step 6: Final answer
    x = 361.74

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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.