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Finding the Fourth Proportional to 482.40, 721.68 and 430.44

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Solution

The fourth proportional to 482.40, 721.68 and 430.44 is: 643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.40 : 721.68 = 430.44 : x
  2. Step 2: Convert to fraction form
    482.40/721.68 = 430.44/x
  3. Step 3: Cross multiply
    482.40x = 721.68 × 430.44
  4. Step 4: Simplify right side
    482.40x = 310,639.94
  5. Step 5: Solve for x
    x = 310,639.94/482.40
  6. Step 6: Final answer
    x = 643.95

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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.