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Finding the Fourth Proportional to 1,303.41, 1,955.12 and 329.51

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Solution

The fourth proportional to 1,303.41, 1,955.12 and 329.51 is: 494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.41 : 1,955.12 = 329.51 : x
  2. Step 2: Convert to fraction form
    1,303.41/1,955.12 = 329.51/x
  3. Step 3: Cross multiply
    1,303.41x = 1,955.12 × 329.51
  4. Step 4: Simplify right side
    1,303.41x = 644,237.30
  5. Step 5: Solve for x
    x = 644,237.30/1,303.41
  6. Step 6: Final answer
    x = 494.27

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Why These Related Problems?

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