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Finding the Fourth Proportional to 700.12, 965.94 and 438.16

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Solution

The fourth proportional to 700.12, 965.94 and 438.16 is: 604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.12 : 965.94 = 438.16 : x
  2. Step 2: Convert to fraction form
    700.12/965.94 = 438.16/x
  3. Step 3: Cross multiply
    700.12x = 965.94 × 438.16
  4. Step 4: Simplify right side
    700.12x = 423,236.27
  5. Step 5: Solve for x
    x = 423,236.27/700.12
  6. Step 6: Final answer
    x = 604.52

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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.