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Finding the Fourth Proportional to 941.29, 1,411.66 and 283.14

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Solution

The fourth proportional to 941.29, 1,411.66 and 283.14 is: 424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.29 : 1,411.66 = 283.14 : x
  2. Step 2: Convert to fraction form
    941.29/1,411.66 = 283.14/x
  3. Step 3: Cross multiply
    941.29x = 1,411.66 × 283.14
  4. Step 4: Simplify right side
    941.29x = 399,688.94
  5. Step 5: Solve for x
    x = 399,688.94/941.29
  6. Step 6: Final answer
    x = 424.62

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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.