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Finding the Fourth Proportional to 424.16, 584.64 and 330.72

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Solution

The fourth proportional to 424.16, 584.64 and 330.72 is: 455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.16 : 584.64 = 330.72 : x
  2. Step 2: Convert to fraction form
    424.16/584.64 = 330.72/x
  3. Step 3: Cross multiply
    424.16x = 584.64 × 330.72
  4. Step 4: Simplify right side
    424.16x = 193,352.14
  5. Step 5: Solve for x
    x = 193,352.14/424.16
  6. Step 6: Final answer
    x = 455.85

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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.