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Finding the Fourth Proportional to 675.10, 931.62 and 380.43

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Solution

The fourth proportional to 675.10, 931.62 and 380.43 is: 524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.10 : 931.62 = 380.43 : x
  2. Step 2: Convert to fraction form
    675.10/931.62 = 380.43/x
  3. Step 3: Cross multiply
    675.10x = 931.62 × 380.43
  4. Step 4: Simplify right side
    675.10x = 354,416.20
  5. Step 5: Solve for x
    x = 354,416.20/675.10
  6. Step 6: Final answer
    x = 524.98

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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.