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Finding the Fourth Proportional to 705.26, 972.78 and 456.20

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Solution

The fourth proportional to 705.26, 972.78 and 456.20 is: 629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.26 : 972.78 = 456.20 : x
  2. Step 2: Convert to fraction form
    705.26/972.78 = 456.20/x
  3. Step 3: Cross multiply
    705.26x = 972.78 × 456.20
  4. Step 4: Simplify right side
    705.26x = 443,782.24
  5. Step 5: Solve for x
    x = 443,782.24/705.26
  6. Step 6: Final answer
    x = 629.25

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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.