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Finding the Fourth Proportional to 1,302.19, 1,953.27 and 328.29

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Solution

The fourth proportional to 1,302.19, 1,953.27 and 328.29 is: 492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.19 : 1,953.27 = 328.29 : x
  2. Step 2: Convert to fraction form
    1,302.19/1,953.27 = 328.29/x
  3. Step 3: Cross multiply
    1,302.19x = 1,953.27 × 328.29
  4. Step 4: Simplify right side
    1,302.19x = 641,239.01
  5. Step 5: Solve for x
    x = 641,239.01/1,302.19
  6. Step 6: Final answer
    x = 492.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.