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Finding the Fourth Proportional to 436.62, 598.26 and 430.14

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Solution

The fourth proportional to 436.62, 598.26 and 430.14 is: 589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.62 : 598.26 = 430.14 : x
  2. Step 2: Convert to fraction form
    436.62/598.26 = 430.14/x
  3. Step 3: Cross multiply
    436.62x = 598.26 × 430.14
  4. Step 4: Simplify right side
    436.62x = 257,335.56
  5. Step 5: Solve for x
    x = 257,335.56/436.62
  6. Step 6: Final answer
    x = 589.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.