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Finding the Fourth Proportional to 705.87, 973.44 and 457.26

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Solution

The fourth proportional to 705.87, 973.44 and 457.26 is: 630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.87 : 973.44 = 457.26 : x
  2. Step 2: Convert to fraction form
    705.87/973.44 = 457.26/x
  3. Step 3: Cross multiply
    705.87x = 973.44 × 457.26
  4. Step 4: Simplify right side
    705.87x = 445,115.17
  5. Step 5: Solve for x
    x = 445,115.17/705.87
  6. Step 6: Final answer
    x = 630.59

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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.