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Finding the Fourth Proportional to 941.16, 1,411.76 and 291.88

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Solution

The fourth proportional to 941.16, 1,411.76 and 291.88 is: 437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.16 : 1,411.76 = 291.88 : x
  2. Step 2: Convert to fraction form
    941.16/1,411.76 = 291.88/x
  3. Step 3: Cross multiply
    941.16x = 1,411.76 × 291.88
  4. Step 4: Simplify right side
    941.16x = 412,064.51
  5. Step 5: Solve for x
    x = 412,064.51/941.16
  6. Step 6: Final answer
    x = 437.83

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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.