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Finding the Fourth Proportional to 705.80, 973.73 and 457.26

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Solution

The fourth proportional to 705.80, 973.73 and 457.26 is: 630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.80 : 973.73 = 457.26 : x
  2. Step 2: Convert to fraction form
    705.80/973.73 = 457.26/x
  3. Step 3: Cross multiply
    705.80x = 973.73 × 457.26
  4. Step 4: Simplify right side
    705.80x = 445,245.49
  5. Step 5: Solve for x
    x = 445,245.49/705.80
  6. Step 6: Final answer
    x = 630.84

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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.