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Finding the Fourth Proportional to 602.12, 830.72 and 380.99

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Solution

The fourth proportional to 602.12, 830.72 and 380.99 is: 525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.12 : 830.72 = 380.99 : x
  2. Step 2: Convert to fraction form
    602.12/830.72 = 380.99/x
  3. Step 3: Cross multiply
    602.12x = 830.72 × 380.99
  4. Step 4: Simplify right side
    602.12x = 316,499.04
  5. Step 5: Solve for x
    x = 316,499.04/602.12
  6. Step 6: Final answer
    x = 525.64

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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.