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Finding the Fourth Proportional to 704.83, 972.58 and 410.15

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Solution

The fourth proportional to 704.83, 972.58 and 410.15 is: 565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.83 : 972.58 = 410.15 : x
  2. Step 2: Convert to fraction form
    704.83/972.58 = 410.15/x
  3. Step 3: Cross multiply
    704.83x = 972.58 × 410.15
  4. Step 4: Simplify right side
    704.83x = 398,896.77
  5. Step 5: Solve for x
    x = 398,896.77/704.83
  6. Step 6: Final answer
    x = 565.95

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