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Finding the Fourth Proportional to 437.19, 602.70 and 312.80

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Solution

The fourth proportional to 437.19, 602.70 and 312.80 is: 431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.19 : 602.70 = 312.80 : x
  2. Step 2: Convert to fraction form
    437.19/602.70 = 312.80/x
  3. Step 3: Cross multiply
    437.19x = 602.70 × 312.80
  4. Step 4: Simplify right side
    437.19x = 188,524.56
  5. Step 5: Solve for x
    x = 188,524.56/437.19
  6. Step 6: Final answer
    x = 431.22

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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.