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Finding the Fourth Proportional to 400.25, 598.80 and 340.94

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Solution

The fourth proportional to 400.25, 598.80 and 340.94 is: 510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.25 : 598.80 = 340.94 : x
  2. Step 2: Convert to fraction form
    400.25/598.80 = 340.94/x
  3. Step 3: Cross multiply
    400.25x = 598.80 × 340.94
  4. Step 4: Simplify right side
    400.25x = 204,154.87
  5. Step 5: Solve for x
    x = 204,154.87/400.25
  6. Step 6: Final answer
    x = 510.07

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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.