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Finding the Fourth Proportional to 704.63, 972.56 and 409.95

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Solution

The fourth proportional to 704.63, 972.56 and 409.95 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.63 : 972.56 = 409.95 : x
  2. Step 2: Convert to fraction form
    704.63/972.56 = 409.95/x
  3. Step 3: Cross multiply
    704.63x = 972.56 × 409.95
  4. Step 4: Simplify right side
    704.63x = 398,698.92
  5. Step 5: Solve for x
    x = 398,698.92/704.63
  6. Step 6: Final answer
    x = 565.83

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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.