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Finding the Fourth Proportional to 941.67, 1,412.52 and 356.61

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Solution

The fourth proportional to 941.67, 1,412.52 and 356.61 is: 534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.67 : 1,412.52 = 356.61 : x
  2. Step 2: Convert to fraction form
    941.67/1,412.52 = 356.61/x
  3. Step 3: Cross multiply
    941.67x = 1,412.52 × 356.61
  4. Step 4: Simplify right side
    941.67x = 503,718.76
  5. Step 5: Solve for x
    x = 503,718.76/941.67
  6. Step 6: Final answer
    x = 534.92

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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.