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Finding the Fourth Proportional to 704.54, 972.33 and 409.90

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Solution

The fourth proportional to 704.54, 972.33 and 409.90 is: 565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.54 : 972.33 = 409.90 : x
  2. Step 2: Convert to fraction form
    704.54/972.33 = 409.90/x
  3. Step 3: Cross multiply
    704.54x = 972.33 × 409.90
  4. Step 4: Simplify right side
    704.54x = 398,558.07
  5. Step 5: Solve for x
    x = 398,558.07/704.54
  6. Step 6: Final answer
    x = 565.70

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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.