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Finding the Fourth Proportional to 483.51, 666.47 and 343.34

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Solution

The fourth proportional to 483.51, 666.47 and 343.34 is: 473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.51 : 666.47 = 343.34 : x
  2. Step 2: Convert to fraction form
    483.51/666.47 = 343.34/x
  3. Step 3: Cross multiply
    483.51x = 666.47 × 343.34
  4. Step 4: Simplify right side
    483.51x = 228,820.76
  5. Step 5: Solve for x
    x = 228,820.76/483.51
  6. Step 6: Final answer
    x = 473.25

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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.