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Finding the Fourth Proportional to 704.77, 972.48 and 442.87

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Solution

The fourth proportional to 704.77, 972.48 and 442.87 is: 611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.77 : 972.48 = 442.87 : x
  2. Step 2: Convert to fraction form
    704.77/972.48 = 442.87/x
  3. Step 3: Cross multiply
    704.77x = 972.48 × 442.87
  4. Step 4: Simplify right side
    704.77x = 430,682.22
  5. Step 5: Solve for x
    x = 430,682.22/704.77
  6. Step 6: Final answer
    x = 611.10

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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.