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Finding the Fourth Proportional to 415.16, 573.72 and 336.32

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Solution

The fourth proportional to 415.16, 573.72 and 336.32 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.16 : 573.72 = 336.32 : x
  2. Step 2: Convert to fraction form
    415.16/573.72 = 336.32/x
  3. Step 3: Cross multiply
    415.16x = 573.72 × 336.32
  4. Step 4: Simplify right side
    415.16x = 192,953.51
  5. Step 5: Solve for x
    x = 192,953.51/415.16
  6. Step 6: Final answer
    x = 464.77

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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.