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Finding the Fourth Proportional to 465.02, 700.23 and 344.12

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Solution

The fourth proportional to 465.02, 700.23 and 344.12 is: 518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 700.23 = 344.12 : x
  2. Step 2: Convert to fraction form
    465.02/700.23 = 344.12/x
  3. Step 3: Cross multiply
    465.02x = 700.23 × 344.12
  4. Step 4: Simplify right side
    465.02x = 240,963.15
  5. Step 5: Solve for x
    x = 240,963.15/465.02
  6. Step 6: Final answer
    x = 518.18

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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.