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Finding the Fourth Proportional to 465.68, 699.98 and 375.36

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Solution

The fourth proportional to 465.68, 699.98 and 375.36 is: 564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.68 : 699.98 = 375.36 : x
  2. Step 2: Convert to fraction form
    465.68/699.98 = 375.36/x
  3. Step 3: Cross multiply
    465.68x = 699.98 × 375.36
  4. Step 4: Simplify right side
    465.68x = 262,744.49
  5. Step 5: Solve for x
    x = 262,744.49/465.68
  6. Step 6: Final answer
    x = 564.22

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