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Finding the Fourth Proportional to 704.99, 972.66 and 410.15

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Solution

The fourth proportional to 704.99, 972.66 and 410.15 is: 565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.99 : 972.66 = 410.15 : x
  2. Step 2: Convert to fraction form
    704.99/972.66 = 410.15/x
  3. Step 3: Cross multiply
    704.99x = 972.66 × 410.15
  4. Step 4: Simplify right side
    704.99x = 398,936.50
  5. Step 5: Solve for x
    x = 398,936.50/704.99
  6. Step 6: Final answer
    x = 565.88

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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.