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Finding the Fourth Proportional to 675.41, 931.66 and 412.97

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Solution

The fourth proportional to 675.41, 931.66 and 412.97 is: 569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.41 : 931.66 = 412.97 : x
  2. Step 2: Convert to fraction form
    675.41/931.66 = 412.97/x
  3. Step 3: Cross multiply
    675.41x = 931.66 × 412.97
  4. Step 4: Simplify right side
    675.41x = 384,746.98
  5. Step 5: Solve for x
    x = 384,746.98/675.41
  6. Step 6: Final answer
    x = 569.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.