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Finding the Fourth Proportional to 436.20, 602.10 and 311.93

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Solution

The fourth proportional to 436.20, 602.10 and 311.93 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.20 : 602.10 = 311.93 : x
  2. Step 2: Convert to fraction form
    436.20/602.10 = 311.93/x
  3. Step 3: Cross multiply
    436.20x = 602.10 × 311.93
  4. Step 4: Simplify right side
    436.20x = 187,812.30
  5. Step 5: Solve for x
    x = 187,812.30/436.20
  6. Step 6: Final answer
    x = 430.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.