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Finding the Fourth Proportional to 626.42, 864.34 and 430.00

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Solution

The fourth proportional to 626.42, 864.34 and 430.00 is: 593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.42 : 864.34 = 430.00 : x
  2. Step 2: Convert to fraction form
    626.42/864.34 = 430.00/x
  3. Step 3: Cross multiply
    626.42x = 864.34 × 430.00
  4. Step 4: Simplify right side
    626.42x = 371,662.96
  5. Step 5: Solve for x
    x = 371,662.96/626.42
  6. Step 6: Final answer
    x = 593.31

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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.