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Finding the Fourth Proportional to 419.61, 579.07 and 253.80

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Solution

The fourth proportional to 419.61, 579.07 and 253.80 is: 350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.61 : 579.07 = 253.80 : x
  2. Step 2: Convert to fraction form
    419.61/579.07 = 253.80/x
  3. Step 3: Cross multiply
    419.61x = 579.07 × 253.80
  4. Step 4: Simplify right side
    419.61x = 146,967.97
  5. Step 5: Solve for x
    x = 146,967.97/419.61
  6. Step 6: Final answer
    x = 350.25

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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.