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Finding the Fourth Proportional to 675.05, 931.47 and 409.55

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Solution

The fourth proportional to 675.05, 931.47 and 409.55 is: 565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.05 : 931.47 = 409.55 : x
  2. Step 2: Convert to fraction form
    675.05/931.47 = 409.55/x
  3. Step 3: Cross multiply
    675.05x = 931.47 × 409.55
  4. Step 4: Simplify right side
    675.05x = 381,483.54
  5. Step 5: Solve for x
    x = 381,483.54/675.05
  6. Step 6: Final answer
    x = 565.12

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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.