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Finding the Fourth Proportional to 941.42, 1,412.06 and 292.16

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Solution

The fourth proportional to 941.42, 1,412.06 and 292.16 is: 438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.42 : 1,412.06 = 292.16 : x
  2. Step 2: Convert to fraction form
    941.42/1,412.06 = 292.16/x
  3. Step 3: Cross multiply
    941.42x = 1,412.06 × 292.16
  4. Step 4: Simplify right side
    941.42x = 412,549.52
  5. Step 5: Solve for x
    x = 412,549.52/941.42
  6. Step 6: Final answer
    x = 438.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.