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Finding the Fourth Proportional to 1,303.36, 1,955.10 and 329.47

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Solution

The fourth proportional to 1,303.36, 1,955.10 and 329.47 is: 494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.36 : 1,955.10 = 329.47 : x
  2. Step 2: Convert to fraction form
    1,303.36/1,955.10 = 329.47/x
  3. Step 3: Cross multiply
    1,303.36x = 1,955.10 × 329.47
  4. Step 4: Simplify right side
    1,303.36x = 644,143.14
  5. Step 5: Solve for x
    x = 644,143.14/1,303.36
  6. Step 6: Final answer
    x = 494.22

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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.