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Finding the Fourth Proportional to 464.72, 696.72 and 368.96

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Solution

The fourth proportional to 464.72, 696.72 and 368.96 is: 553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 696.72 = 368.96 : x
  2. Step 2: Convert to fraction form
    464.72/696.72 = 368.96/x
  3. Step 3: Cross multiply
    464.72x = 696.72 × 368.96
  4. Step 4: Simplify right side
    464.72x = 257,061.81
  5. Step 5: Solve for x
    x = 257,061.81/464.72
  6. Step 6: Final answer
    x = 553.15

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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.