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Finding the Fourth Proportional to 705.28, 972.72 and 456.48

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Solution

The fourth proportional to 705.28, 972.72 and 456.48 is: 629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.28 : 972.72 = 456.48 : x
  2. Step 2: Convert to fraction form
    705.28/972.72 = 456.48/x
  3. Step 3: Cross multiply
    705.28x = 972.72 × 456.48
  4. Step 4: Simplify right side
    705.28x = 444,027.23
  5. Step 5: Solve for x
    x = 444,027.23/705.28
  6. Step 6: Final answer
    x = 629.58

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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.