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Finding the Fourth Proportional to 465.14, 700.41 and 336.02

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Solution

The fourth proportional to 465.14, 700.41 and 336.02 is: 505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 700.41 = 336.02 : x
  2. Step 2: Convert to fraction form
    465.14/700.41 = 336.02/x
  3. Step 3: Cross multiply
    465.14x = 700.41 × 336.02
  4. Step 4: Simplify right side
    465.14x = 235,351.58
  5. Step 5: Solve for x
    x = 235,351.58/465.14
  6. Step 6: Final answer
    x = 505.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.