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Finding the Fourth Proportional to 708.30, 977.94 and 460.26

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Solution

The fourth proportional to 708.30, 977.94 and 460.26 is: 635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.30 : 977.94 = 460.26 : x
  2. Step 2: Convert to fraction form
    708.30/977.94 = 460.26/x
  3. Step 3: Cross multiply
    708.30x = 977.94 × 460.26
  4. Step 4: Simplify right side
    708.30x = 450,106.66
  5. Step 5: Solve for x
    x = 450,106.66/708.30
  6. Step 6: Final answer
    x = 635.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.