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Finding the Fourth Proportional to 705.33, 972.94 and 442.89

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Solution

The fourth proportional to 705.33, 972.94 and 442.89 is: 610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.33 : 972.94 = 442.89 : x
  2. Step 2: Convert to fraction form
    705.33/972.94 = 442.89/x
  3. Step 3: Cross multiply
    705.33x = 972.94 × 442.89
  4. Step 4: Simplify right side
    705.33x = 430,905.40
  5. Step 5: Solve for x
    x = 430,905.40/705.33
  6. Step 6: Final answer
    x = 610.93

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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.