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Finding the Fourth Proportional to 423.24, 583.58 and 299.32

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Solution

The fourth proportional to 423.24, 583.58 and 299.32 is: 412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 583.58 = 299.32 : x
  2. Step 2: Convert to fraction form
    423.24/583.58 = 299.32/x
  3. Step 3: Cross multiply
    423.24x = 583.58 × 299.32
  4. Step 4: Simplify right side
    423.24x = 174,677.17
  5. Step 5: Solve for x
    x = 174,677.17/423.24
  6. Step 6: Final answer
    x = 412.71

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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.