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Finding the Fourth Proportional to 941.23, 1,411.40 and 291.81

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Solution

The fourth proportional to 941.23, 1,411.40 and 291.81 is: 437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.23 : 1,411.40 = 291.81 : x
  2. Step 2: Convert to fraction form
    941.23/1,411.40 = 291.81/x
  3. Step 3: Cross multiply
    941.23x = 1,411.40 × 291.81
  4. Step 4: Simplify right side
    941.23x = 411,861.36
  5. Step 5: Solve for x
    x = 411,861.36/941.23
  6. Step 6: Final answer
    x = 437.58

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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.