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Finding the Fourth Proportional to 975.29, 1,462.20 and 419.34

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Solution

The fourth proportional to 975.29, 1,462.20 and 419.34 is: 628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.29 : 1,462.20 = 419.34 : x
  2. Step 2: Convert to fraction form
    975.29/1,462.20 = 419.34/x
  3. Step 3: Cross multiply
    975.29x = 1,462.20 × 419.34
  4. Step 4: Simplify right side
    975.29x = 613,165.22
  5. Step 5: Solve for x
    x = 613,165.22/975.29
  6. Step 6: Final answer
    x = 628.70

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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.