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Finding the Fourth Proportional to 303.36, 417.96 and 288.24

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Solution

The fourth proportional to 303.36, 417.96 and 288.24 is: 397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.36 : 417.96 = 288.24 : x
  2. Step 2: Convert to fraction form
    303.36/417.96 = 288.24/x
  3. Step 3: Cross multiply
    303.36x = 417.96 × 288.24
  4. Step 4: Simplify right side
    303.36x = 120,472.79
  5. Step 5: Solve for x
    x = 120,472.79/303.36
  6. Step 6: Final answer
    x = 397.13

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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.