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Finding the Fourth Proportional to 941.61, 1,411.73 and 356.57

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Solution

The fourth proportional to 941.61, 1,411.73 and 356.57 is: 534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.61 : 1,411.73 = 356.57 : x
  2. Step 2: Convert to fraction form
    941.61/1,411.73 = 356.57/x
  3. Step 3: Cross multiply
    941.61x = 1,411.73 × 356.57
  4. Step 4: Simplify right side
    941.61x = 503,371.72
  5. Step 5: Solve for x
    x = 503,371.72/941.61
  6. Step 6: Final answer
    x = 534.59

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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.