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Finding the Fourth Proportional to 292.41, 441.23 and 281.16

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Solution

The fourth proportional to 292.41, 441.23 and 281.16 is: 424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.41 : 441.23 = 281.16 : x
  2. Step 2: Convert to fraction form
    292.41/441.23 = 281.16/x
  3. Step 3: Cross multiply
    292.41x = 441.23 × 281.16
  4. Step 4: Simplify right side
    292.41x = 124,054.82
  5. Step 5: Solve for x
    x = 124,054.82/292.41
  6. Step 6: Final answer
    x = 424.25

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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.