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Finding the Fourth Proportional to 941.04, 1,411.63 and 291.69

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Solution

The fourth proportional to 941.04, 1,411.63 and 291.69 is: 437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.04 : 1,411.63 = 291.69 : x
  2. Step 2: Convert to fraction form
    941.04/1,411.63 = 291.69/x
  3. Step 3: Cross multiply
    941.04x = 1,411.63 × 291.69
  4. Step 4: Simplify right side
    941.04x = 411,757.63
  5. Step 5: Solve for x
    x = 411,757.63/941.04
  6. Step 6: Final answer
    x = 437.56

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