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Finding the Fourth Proportional to 940.98, 1,411.44 and 291.74

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Solution

The fourth proportional to 940.98, 1,411.44 and 291.74 is: 437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.98 : 1,411.44 = 291.74 : x
  2. Step 2: Convert to fraction form
    940.98/1,411.44 = 291.74/x
  3. Step 3: Cross multiply
    940.98x = 1,411.44 × 291.74
  4. Step 4: Simplify right side
    940.98x = 411,773.51
  5. Step 5: Solve for x
    x = 411,773.51/940.98
  6. Step 6: Final answer
    x = 437.60

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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.