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Finding the Fourth Proportional to 400.75, 602.03 and 346.07

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Solution

The fourth proportional to 400.75, 602.03 and 346.07 is: 519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.75 : 602.03 = 346.07 : x
  2. Step 2: Convert to fraction form
    400.75/602.03 = 346.07/x
  3. Step 3: Cross multiply
    400.75x = 602.03 × 346.07
  4. Step 4: Simplify right side
    400.75x = 208,344.52
  5. Step 5: Solve for x
    x = 208,344.52/400.75
  6. Step 6: Final answer
    x = 519.89

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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.