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Finding the Fourth Proportional to 939.92, 1,410.06 and 290.63

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Solution

The fourth proportional to 939.92, 1,410.06 and 290.63 is: 436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.92 : 1,410.06 = 290.63 : x
  2. Step 2: Convert to fraction form
    939.92/1,410.06 = 290.63/x
  3. Step 3: Cross multiply
    939.92x = 1,410.06 × 290.63
  4. Step 4: Simplify right side
    939.92x = 409,798.69
  5. Step 5: Solve for x
    x = 409,798.69/939.92
  6. Step 6: Final answer
    x = 436.00

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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.