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Finding the Fourth Proportional to 430.84, 645.99 and 284.43

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Solution

The fourth proportional to 430.84, 645.99 and 284.43 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.84 : 645.99 = 284.43 : x
  2. Step 2: Convert to fraction form
    430.84/645.99 = 284.43/x
  3. Step 3: Cross multiply
    430.84x = 645.99 × 284.43
  4. Step 4: Simplify right side
    430.84x = 183,738.94
  5. Step 5: Solve for x
    x = 183,738.94/430.84
  6. Step 6: Final answer
    x = 426.47

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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.