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Finding the Fourth Proportional to 415.04, 573.60 and 312.32

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Solution

The fourth proportional to 415.04, 573.60 and 312.32 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.04 : 573.60 = 312.32 : x
  2. Step 2: Convert to fraction form
    415.04/573.60 = 312.32/x
  3. Step 3: Cross multiply
    415.04x = 573.60 × 312.32
  4. Step 4: Simplify right side
    415.04x = 179,146.75
  5. Step 5: Solve for x
    x = 179,146.75/415.04
  6. Step 6: Final answer
    x = 431.64

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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.