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Finding the Fourth Proportional to 515.73, 776.67 and 467.53

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Solution

The fourth proportional to 515.73, 776.67 and 467.53 is: 704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.73 : 776.67 = 467.53 : x
  2. Step 2: Convert to fraction form
    515.73/776.67 = 467.53/x
  3. Step 3: Cross multiply
    515.73x = 776.67 × 467.53
  4. Step 4: Simplify right side
    515.73x = 363,116.53
  5. Step 5: Solve for x
    x = 363,116.53/515.73
  6. Step 6: Final answer
    x = 704.08

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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.