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Finding the Fourth Proportional to 465.02, 700.24 and 344.13

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Solution

The fourth proportional to 465.02, 700.24 and 344.13 is: 518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 700.24 = 344.13 : x
  2. Step 2: Convert to fraction form
    465.02/700.24 = 344.13/x
  3. Step 3: Cross multiply
    465.02x = 700.24 × 344.13
  4. Step 4: Simplify right side
    465.02x = 240,973.59
  5. Step 5: Solve for x
    x = 240,973.59/465.02
  6. Step 6: Final answer
    x = 518.20

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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.