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Finding the Fourth Proportional to 430.96, 594.69 and 256.27

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Solution

The fourth proportional to 430.96, 594.69 and 256.27 is: 353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.96 : 594.69 = 256.27 : x
  2. Step 2: Convert to fraction form
    430.96/594.69 = 256.27/x
  3. Step 3: Cross multiply
    430.96x = 594.69 × 256.27
  4. Step 4: Simplify right side
    430.96x = 152,401.21
  5. Step 5: Solve for x
    x = 152,401.21/430.96
  6. Step 6: Final answer
    x = 353.63

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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.