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Finding the Fourth Proportional to 941.11, 1,410.98 and 356.06

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Solution

The fourth proportional to 941.11, 1,410.98 and 356.06 is: 533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.11 : 1,410.98 = 356.06 : x
  2. Step 2: Convert to fraction form
    941.11/1,410.98 = 356.06/x
  3. Step 3: Cross multiply
    941.11x = 1,410.98 × 356.06
  4. Step 4: Simplify right side
    941.11x = 502,391.76
  5. Step 5: Solve for x
    x = 502,391.76/941.11
  6. Step 6: Final answer
    x = 533.83

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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.