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Finding the Fourth Proportional to 704.19, 1,056.32 and 293.36

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Solution

The fourth proportional to 704.19, 1,056.32 and 293.36 is: 440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.19 : 1,056.32 = 293.36 : x
  2. Step 2: Convert to fraction form
    704.19/1,056.32 = 293.36/x
  3. Step 3: Cross multiply
    704.19x = 1,056.32 × 293.36
  4. Step 4: Simplify right side
    704.19x = 309,884.47
  5. Step 5: Solve for x
    x = 309,884.47/704.19
  6. Step 6: Final answer
    x = 440.06

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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.