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Finding the Fourth Proportional to 647.69, 970.63 and 464.68

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Solution

The fourth proportional to 647.69, 970.63 and 464.68 is: 696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.69 : 970.63 = 464.68 : x
  2. Step 2: Convert to fraction form
    647.69/970.63 = 464.68/x
  3. Step 3: Cross multiply
    647.69x = 970.63 × 464.68
  4. Step 4: Simplify right side
    647.69x = 451,030.03
  5. Step 5: Solve for x
    x = 451,030.03/647.69
  6. Step 6: Final answer
    x = 696.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.