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Finding the Fourth Proportional to 419.76, 578.92 and 301.77

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Solution

The fourth proportional to 419.76, 578.92 and 301.77 is: 416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 578.92 = 301.77 : x
  2. Step 2: Convert to fraction form
    419.76/578.92 = 301.77/x
  3. Step 3: Cross multiply
    419.76x = 578.92 × 301.77
  4. Step 4: Simplify right side
    419.76x = 174,700.69
  5. Step 5: Solve for x
    x = 174,700.69/419.76
  6. Step 6: Final answer
    x = 416.19

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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.