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Finding the Fourth Proportional to 675.04, 931.64 and 380.31

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Solution

The fourth proportional to 675.04, 931.64 and 380.31 is: 524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.04 : 931.64 = 380.31 : x
  2. Step 2: Convert to fraction form
    675.04/931.64 = 380.31/x
  3. Step 3: Cross multiply
    675.04x = 931.64 × 380.31
  4. Step 4: Simplify right side
    675.04x = 354,312.01
  5. Step 5: Solve for x
    x = 354,312.01/675.04
  6. Step 6: Final answer
    x = 524.88

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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.