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Finding the Fourth Proportional to 700.68, 966.90 and 435.06

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Solution

The fourth proportional to 700.68, 966.90 and 435.06 is: 600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.68 : 966.90 = 435.06 : x
  2. Step 2: Convert to fraction form
    700.68/966.90 = 435.06/x
  3. Step 3: Cross multiply
    700.68x = 966.90 × 435.06
  4. Step 4: Simplify right side
    700.68x = 420,659.51
  5. Step 5: Solve for x
    x = 420,659.51/700.68
  6. Step 6: Final answer
    x = 600.36

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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.