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Finding the Fourth Proportional to 704.52, 1,056.96 and 320.04

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Solution

The fourth proportional to 704.52, 1,056.96 and 320.04 is: 480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.52 : 1,056.96 = 320.04 : x
  2. Step 2: Convert to fraction form
    704.52/1,056.96 = 320.04/x
  3. Step 3: Cross multiply
    704.52x = 1,056.96 × 320.04
  4. Step 4: Simplify right side
    704.52x = 338,269.48
  5. Step 5: Solve for x
    x = 338,269.48/704.52
  6. Step 6: Final answer
    x = 480.14

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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.