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Finding the Fourth Proportional to 420.26, 630.54 and 189.13

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Solution

The fourth proportional to 420.26, 630.54 and 189.13 is: 283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.26 : 630.54 = 189.13 : x
  2. Step 2: Convert to fraction form
    420.26/630.54 = 189.13/x
  3. Step 3: Cross multiply
    420.26x = 630.54 × 189.13
  4. Step 4: Simplify right side
    420.26x = 119,254.03
  5. Step 5: Solve for x
    x = 119,254.03/420.26
  6. Step 6: Final answer
    x = 283.76

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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.