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Finding the Fourth Proportional to 675.10, 931.44 and 380.26

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Solution

The fourth proportional to 675.10, 931.44 and 380.26 is: 524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.10 : 931.44 = 380.26 : x
  2. Step 2: Convert to fraction form
    675.10/931.44 = 380.26/x
  3. Step 3: Cross multiply
    675.10x = 931.44 × 380.26
  4. Step 4: Simplify right side
    675.10x = 354,189.37
  5. Step 5: Solve for x
    x = 354,189.37/675.10
  6. Step 6: Final answer
    x = 524.65

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1.5x scale

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.