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Finding the Fourth Proportional to 466.02, 701.75 and 345.13

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Solution

The fourth proportional to 466.02, 701.75 and 345.13 is: 519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.02 : 701.75 = 345.13 : x
  2. Step 2: Convert to fraction form
    466.02/701.75 = 345.13/x
  3. Step 3: Cross multiply
    466.02x = 701.75 × 345.13
  4. Step 4: Simplify right side
    466.02x = 242,194.98
  5. Step 5: Solve for x
    x = 242,194.98/466.02
  6. Step 6: Final answer
    x = 519.71

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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.