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Finding the Fourth Proportional to 319.40, 475.84 and 303.60

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Solution

The fourth proportional to 319.40, 475.84 and 303.60 is: 452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.40 : 475.84 = 303.60 : x
  2. Step 2: Convert to fraction form
    319.40/475.84 = 303.60/x
  3. Step 3: Cross multiply
    319.40x = 475.84 × 303.60
  4. Step 4: Simplify right side
    319.40x = 144,465.02
  5. Step 5: Solve for x
    x = 144,465.02/319.40
  6. Step 6: Final answer
    x = 452.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.