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Finding the Fourth Proportional to 410.07, 613.89 and 301.13

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Solution

The fourth proportional to 410.07, 613.89 and 301.13 is: 450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.07 : 613.89 = 301.13 : x
  2. Step 2: Convert to fraction form
    410.07/613.89 = 301.13/x
  3. Step 3: Cross multiply
    410.07x = 613.89 × 301.13
  4. Step 4: Simplify right side
    410.07x = 184,857.63
  5. Step 5: Solve for x
    x = 184,857.63/410.07
  6. Step 6: Final answer
    x = 450.80

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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.