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Finding the Fourth Proportional to 430.53, 644.79 and 314.69

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Solution

The fourth proportional to 430.53, 644.79 and 314.69 is: 471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.53 : 644.79 = 314.69 : x
  2. Step 2: Convert to fraction form
    430.53/644.79 = 314.69/x
  3. Step 3: Cross multiply
    430.53x = 644.79 × 314.69
  4. Step 4: Simplify right side
    430.53x = 202,908.97
  5. Step 5: Solve for x
    x = 202,908.97/430.53
  6. Step 6: Final answer
    x = 471.30

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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.