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Finding the Fourth Proportional to 440.57, 606.69 and 430.99

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Solution

The fourth proportional to 440.57, 606.69 and 430.99 is: 593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.57 : 606.69 = 430.99 : x
  2. Step 2: Convert to fraction form
    440.57/606.69 = 430.99/x
  3. Step 3: Cross multiply
    440.57x = 606.69 × 430.99
  4. Step 4: Simplify right side
    440.57x = 261,475.81
  5. Step 5: Solve for x
    x = 261,475.81/440.57
  6. Step 6: Final answer
    x = 593.49

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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.