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Finding the Fourth Proportional to 466.73, 697.19 and 345.23

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Solution

The fourth proportional to 466.73, 697.19 and 345.23 is: 515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.73 : 697.19 = 345.23 : x
  2. Step 2: Convert to fraction form
    466.73/697.19 = 345.23/x
  3. Step 3: Cross multiply
    466.73x = 697.19 × 345.23
  4. Step 4: Simplify right side
    466.73x = 240,690.25
  5. Step 5: Solve for x
    x = 240,690.25/466.73
  6. Step 6: Final answer
    x = 515.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.