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Finding the Fourth Proportional to 704.67, 972.69 and 410.19

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Solution

The fourth proportional to 704.67, 972.69 and 410.19 is: 566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.67 : 972.69 = 410.19 : x
  2. Step 2: Convert to fraction form
    704.67/972.69 = 410.19/x
  3. Step 3: Cross multiply
    704.67x = 972.69 × 410.19
  4. Step 4: Simplify right side
    704.67x = 398,981.82
  5. Step 5: Solve for x
    x = 398,981.82/704.67
  6. Step 6: Final answer
    x = 566.19

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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.