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Finding the Fourth Proportional to 947.10, 1,420.38 and 322.29

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Solution

The fourth proportional to 947.10, 1,420.38 and 322.29 is: 483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.10 : 1,420.38 = 322.29 : x
  2. Step 2: Convert to fraction form
    947.10/1,420.38 = 322.29/x
  3. Step 3: Cross multiply
    947.10x = 1,420.38 × 322.29
  4. Step 4: Simplify right side
    947.10x = 457,774.27
  5. Step 5: Solve for x
    x = 457,774.27/947.10
  6. Step 6: Final answer
    x = 483.34

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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.