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Finding the Fourth Proportional to 705.26, 973.07 and 456.73

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Solution

The fourth proportional to 705.26, 973.07 and 456.73 is: 630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.26 : 973.07 = 456.73 : x
  2. Step 2: Convert to fraction form
    705.26/973.07 = 456.73/x
  3. Step 3: Cross multiply
    705.26x = 973.07 × 456.73
  4. Step 4: Simplify right side
    705.26x = 444,430.26
  5. Step 5: Solve for x
    x = 444,430.26/705.26
  6. Step 6: Final answer
    x = 630.17

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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.