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Finding the Fourth Proportional to 430.80, 645.10 and 395.16

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Solution

The fourth proportional to 430.80, 645.10 and 395.16 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.80 : 645.10 = 395.16 : x
  2. Step 2: Convert to fraction form
    430.80/645.10 = 395.16/x
  3. Step 3: Cross multiply
    430.80x = 645.10 × 395.16
  4. Step 4: Simplify right side
    430.80x = 254,917.72
  5. Step 5: Solve for x
    x = 254,917.72/430.80
  6. Step 6: Final answer
    x = 591.73

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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.