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Finding the Fourth Proportional to 418.16, 577.52 and 336.16

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Solution

The fourth proportional to 418.16, 577.52 and 336.16 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.16 : 577.52 = 336.16 : x
  2. Step 2: Convert to fraction form
    418.16/577.52 = 336.16/x
  3. Step 3: Cross multiply
    418.16x = 577.52 × 336.16
  4. Step 4: Simplify right side
    418.16x = 194,139.12
  5. Step 5: Solve for x
    x = 194,139.12/418.16
  6. Step 6: Final answer
    x = 464.27

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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.