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Finding the Fourth Proportional to 448.88, 674.04 and 430.16

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Solution

The fourth proportional to 448.88, 674.04 and 430.16 is: 645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.88 : 674.04 = 430.16 : x
  2. Step 2: Convert to fraction form
    448.88/674.04 = 430.16/x
  3. Step 3: Cross multiply
    448.88x = 674.04 × 430.16
  4. Step 4: Simplify right side
    448.88x = 289,945.05
  5. Step 5: Solve for x
    x = 289,945.05/448.88
  6. Step 6: Final answer
    x = 645.93

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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.