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Finding the Fourth Proportional to 704.36, 1,056.92 and 334.08

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Solution

The fourth proportional to 704.36, 1,056.92 and 334.08 is: 501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.36 : 1,056.92 = 334.08 : x
  2. Step 2: Convert to fraction form
    704.36/1,056.92 = 334.08/x
  3. Step 3: Cross multiply
    704.36x = 1,056.92 × 334.08
  4. Step 4: Simplify right side
    704.36x = 353,095.83
  5. Step 5: Solve for x
    x = 353,095.83/704.36
  6. Step 6: Final answer
    x = 501.30

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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.