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Finding the Fourth Proportional to 674.90, 931.33 and 380.16

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Solution

The fourth proportional to 674.90, 931.33 and 380.16 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.90 : 931.33 = 380.16 : x
  2. Step 2: Convert to fraction form
    674.90/931.33 = 380.16/x
  3. Step 3: Cross multiply
    674.90x = 931.33 × 380.16
  4. Step 4: Simplify right side
    674.90x = 354,054.41
  5. Step 5: Solve for x
    x = 354,054.41/674.90
  6. Step 6: Final answer
    x = 524.60

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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.