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Finding the Fourth Proportional to 627.04, 864.34 and 430.21

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Solution

The fourth proportional to 627.04, 864.34 and 430.21 is: 593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.04 : 864.34 = 430.21 : x
  2. Step 2: Convert to fraction form
    627.04/864.34 = 430.21/x
  3. Step 3: Cross multiply
    627.04x = 864.34 × 430.21
  4. Step 4: Simplify right side
    627.04x = 371,847.71
  5. Step 5: Solve for x
    x = 371,847.71/627.04
  6. Step 6: Final answer
    x = 593.02

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Why These Related Problems?

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