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Finding the Fourth Proportional to 464.60, 696.58 and 245.48

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Solution

The fourth proportional to 464.60, 696.58 and 245.48 is: 368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.60 : 696.58 = 245.48 : x
  2. Step 2: Convert to fraction form
    464.60/696.58 = 245.48/x
  3. Step 3: Cross multiply
    464.60x = 696.58 × 245.48
  4. Step 4: Simplify right side
    464.60x = 170,996.46
  5. Step 5: Solve for x
    x = 170,996.46/464.60
  6. Step 6: Final answer
    x = 368.05

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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.