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Finding the Fourth Proportional to 675.18, 931.62 and 409.56

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Solution

The fourth proportional to 675.18, 931.62 and 409.56 is: 565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.18 : 931.62 = 409.56 : x
  2. Step 2: Convert to fraction form
    675.18/931.62 = 409.56/x
  3. Step 3: Cross multiply
    675.18x = 931.62 × 409.56
  4. Step 4: Simplify right side
    675.18x = 381,549.63
  5. Step 5: Solve for x
    x = 381,549.63/675.18
  6. Step 6: Final answer
    x = 565.11

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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.