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Finding the Fourth Proportional to 704.68, 972.32 and 443.06

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Solution

The fourth proportional to 704.68, 972.32 and 443.06 is: 611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.68 : 972.32 = 443.06 : x
  2. Step 2: Convert to fraction form
    704.68/972.32 = 443.06/x
  3. Step 3: Cross multiply
    704.68x = 972.32 × 443.06
  4. Step 4: Simplify right side
    704.68x = 430,796.10
  5. Step 5: Solve for x
    x = 430,796.10/704.68
  6. Step 6: Final answer
    x = 611.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.