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Finding the Fourth Proportional to 429.80, 632.54 and 429.80

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Solution

The fourth proportional to 429.80, 632.54 and 429.80 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.80 : 632.54 = 429.80 : x
  2. Step 2: Convert to fraction form
    429.80/632.54 = 429.80/x
  3. Step 3: Cross multiply
    429.80x = 632.54 × 429.80
  4. Step 4: Simplify right side
    429.80x = 271,863.54
  5. Step 5: Solve for x
    x = 271,863.54/429.80
  6. Step 6: Final answer
    x = 632.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.