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Finding the Fourth Proportional to 696.83, 962.27 and 448.58

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Solution

The fourth proportional to 696.83, 962.27 and 448.58 is: 619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.83 : 962.27 = 448.58 : x
  2. Step 2: Convert to fraction form
    696.83/962.27 = 448.58/x
  3. Step 3: Cross multiply
    696.83x = 962.27 × 448.58
  4. Step 4: Simplify right side
    696.83x = 431,651.51
  5. Step 5: Solve for x
    x = 431,651.51/696.83
  6. Step 6: Final answer
    x = 619.45

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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.