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Finding the Fourth Proportional to 460.23, 690.65 and 380.04

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Solution

The fourth proportional to 460.23, 690.65 and 380.04 is: 570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.23 : 690.65 = 380.04 : x
  2. Step 2: Convert to fraction form
    460.23/690.65 = 380.04/x
  3. Step 3: Cross multiply
    460.23x = 690.65 × 380.04
  4. Step 4: Simplify right side
    460.23x = 262,474.63
  5. Step 5: Solve for x
    x = 262,474.63/460.23
  6. Step 6: Final answer
    x = 570.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.