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Finding the Fourth Proportional to 303.56, 419.29 and 264.14

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Solution

The fourth proportional to 303.56, 419.29 and 264.14 is: 364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.56 : 419.29 = 264.14 : x
  2. Step 2: Convert to fraction form
    303.56/419.29 = 264.14/x
  3. Step 3: Cross multiply
    303.56x = 419.29 × 264.14
  4. Step 4: Simplify right side
    303.56x = 110,748.50
  5. Step 5: Solve for x
    x = 110,748.50/303.56
  6. Step 6: Final answer
    x = 364.84

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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.