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Finding the Fourth Proportional to 418.95, 577.89 and 253.05

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Solution

The fourth proportional to 418.95, 577.89 and 253.05 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.95 : 577.89 = 253.05 : x
  2. Step 2: Convert to fraction form
    418.95/577.89 = 253.05/x
  3. Step 3: Cross multiply
    418.95x = 577.89 × 253.05
  4. Step 4: Simplify right side
    418.95x = 146,235.06
  5. Step 5: Solve for x
    x = 146,235.06/418.95
  6. Step 6: Final answer
    x = 349.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.