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Finding the Fourth Proportional to 378.36, 566.16 and 313

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Solution

The fourth proportional to 378.36, 566.16 and 313 is: 468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.36 : 566.16 = 313 : x
  2. Step 2: Convert to fraction form
    378.36/566.16 = 313/x
  3. Step 3: Cross multiply
    378.36x = 566.16 × 313
  4. Step 4: Simplify right side
    378.36x = 177,208.08
  5. Step 5: Solve for x
    x = 177,208.08/378.36
  6. Step 6: Final answer
    x = 468.36

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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.