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Finding the Fourth Proportional to 940.58, 1,410.50 and 315.74

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Solution

The fourth proportional to 940.58, 1,410.50 and 315.74 is: 473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.58 : 1,410.50 = 315.74 : x
  2. Step 2: Convert to fraction form
    940.58/1,410.50 = 315.74/x
  3. Step 3: Cross multiply
    940.58x = 1,410.50 × 315.74
  4. Step 4: Simplify right side
    940.58x = 445,342.64
  5. Step 5: Solve for x
    x = 445,342.64/940.58
  6. Step 6: Final answer
    x = 473.48

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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.