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Finding the Fourth Proportional to 430.59, 646.29 and 225.30

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Solution

The fourth proportional to 430.59, 646.29 and 225.30 is: 338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.59 : 646.29 = 225.30 : x
  2. Step 2: Convert to fraction form
    430.59/646.29 = 225.30/x
  3. Step 3: Cross multiply
    430.59x = 646.29 × 225.30
  4. Step 4: Simplify right side
    430.59x = 145,609.14
  5. Step 5: Solve for x
    x = 145,609.14/430.59
  6. Step 6: Final answer
    x = 338.16

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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.