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Finding the Fourth Proportional to 627.48, 864.81 and 430.65

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Solution

The fourth proportional to 627.48, 864.81 and 430.65 is: 593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 864.81 = 430.65 : x
  2. Step 2: Convert to fraction form
    627.48/864.81 = 430.65/x
  3. Step 3: Cross multiply
    627.48x = 864.81 × 430.65
  4. Step 4: Simplify right side
    627.48x = 372,430.43
  5. Step 5: Solve for x
    x = 372,430.43/627.48
  6. Step 6: Final answer
    x = 593.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.