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Finding the Fourth Proportional to 704.95, 972.43 and 442.51

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Solution

The fourth proportional to 704.95, 972.43 and 442.51 is: 610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.95 : 972.43 = 442.51 : x
  2. Step 2: Convert to fraction form
    704.95/972.43 = 442.51/x
  3. Step 3: Cross multiply
    704.95x = 972.43 × 442.51
  4. Step 4: Simplify right side
    704.95x = 430,310.00
  5. Step 5: Solve for x
    x = 430,310.00/704.95
  6. Step 6: Final answer
    x = 610.41

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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.