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Finding the Fourth Proportional to 418.86, 577.83 and 253.02

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Solution

The fourth proportional to 418.86, 577.83 and 253.02 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.86 : 577.83 = 253.02 : x
  2. Step 2: Convert to fraction form
    418.86/577.83 = 253.02/x
  3. Step 3: Cross multiply
    418.86x = 577.83 × 253.02
  4. Step 4: Simplify right side
    418.86x = 146,202.55
  5. Step 5: Solve for x
    x = 146,202.55/418.86
  6. Step 6: Final answer
    x = 349.05

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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.