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Finding the Fourth Proportional to 505.62, 761.87 and 416.31

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Solution

The fourth proportional to 505.62, 761.87 and 416.31 is: 627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.62 : 761.87 = 416.31 : x
  2. Step 2: Convert to fraction form
    505.62/761.87 = 416.31/x
  3. Step 3: Cross multiply
    505.62x = 761.87 × 416.31
  4. Step 4: Simplify right side
    505.62x = 317,172.02
  5. Step 5: Solve for x
    x = 317,172.02/505.62
  6. Step 6: Final answer
    x = 627.29

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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.