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Finding the Fourth Proportional to 675.30, 931.98 and 380.64

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Solution

The fourth proportional to 675.30, 931.98 and 380.64 is: 525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.30 : 931.98 = 380.64 : x
  2. Step 2: Convert to fraction form
    675.30/931.98 = 380.64/x
  3. Step 3: Cross multiply
    675.30x = 931.98 × 380.64
  4. Step 4: Simplify right side
    675.30x = 354,748.87
  5. Step 5: Solve for x
    x = 354,748.87/675.30
  6. Step 6: Final answer
    x = 525.32

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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.