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Finding the Fourth Proportional to 514.24, 709.52 and 304.36

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Solution

The fourth proportional to 514.24, 709.52 and 304.36 is: 419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.24 : 709.52 = 304.36 : x
  2. Step 2: Convert to fraction form
    514.24/709.52 = 304.36/x
  3. Step 3: Cross multiply
    514.24x = 709.52 × 304.36
  4. Step 4: Simplify right side
    514.24x = 215,949.51
  5. Step 5: Solve for x
    x = 215,949.51/514.24
  6. Step 6: Final answer
    x = 419.94

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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.