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Finding the Fourth Proportional to 675.14, 931.76 and 409.57

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Solution

The fourth proportional to 675.14, 931.76 and 409.57 is: 565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.14 : 931.76 = 409.57 : x
  2. Step 2: Convert to fraction form
    675.14/931.76 = 409.57/x
  3. Step 3: Cross multiply
    675.14x = 931.76 × 409.57
  4. Step 4: Simplify right side
    675.14x = 381,623.13
  5. Step 5: Solve for x
    x = 381,623.13/675.14
  6. Step 6: Final answer
    x = 565.25

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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.