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Finding the Fourth Proportional to 941.34, 1,412.14 and 292.08

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Solution

The fourth proportional to 941.34, 1,412.14 and 292.08 is: 438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.34 : 1,412.14 = 292.08 : x
  2. Step 2: Convert to fraction form
    941.34/1,412.14 = 292.08/x
  3. Step 3: Cross multiply
    941.34x = 1,412.14 × 292.08
  4. Step 4: Simplify right side
    941.34x = 412,457.85
  5. Step 5: Solve for x
    x = 412,457.85/941.34
  6. Step 6: Final answer
    x = 438.16

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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.