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Finding the Fourth Proportional to 940.01, 1,410.46 and 419.96

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Solution

The fourth proportional to 940.01, 1,410.46 and 419.96 is: 630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.01 : 1,410.46 = 419.96 : x
  2. Step 2: Convert to fraction form
    940.01/1,410.46 = 419.96/x
  3. Step 3: Cross multiply
    940.01x = 1,410.46 × 419.96
  4. Step 4: Simplify right side
    940.01x = 592,334.68
  5. Step 5: Solve for x
    x = 592,334.68/940.01
  6. Step 6: Final answer
    x = 630.14

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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.