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Finding the Fourth Proportional to 700.02, 965.55 and 460.62

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Solution

The fourth proportional to 700.02, 965.55 and 460.62 is: 635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.02 : 965.55 = 460.62 : x
  2. Step 2: Convert to fraction form
    700.02/965.55 = 460.62/x
  3. Step 3: Cross multiply
    700.02x = 965.55 × 460.62
  4. Step 4: Simplify right side
    700.02x = 444,751.64
  5. Step 5: Solve for x
    x = 444,751.64/700.02
  6. Step 6: Final answer
    x = 635.34

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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.