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Finding the Fourth Proportional to 430.33, 646.08 and 423.04

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Solution

The fourth proportional to 430.33, 646.08 and 423.04 is: 635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.33 : 646.08 = 423.04 : x
  2. Step 2: Convert to fraction form
    430.33/646.08 = 423.04/x
  3. Step 3: Cross multiply
    430.33x = 646.08 × 423.04
  4. Step 4: Simplify right side
    430.33x = 273,317.68
  5. Step 5: Solve for x
    x = 273,317.68/430.33
  6. Step 6: Final answer
    x = 635.14

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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.