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Finding the Fourth Proportional to 430.64, 594.30 and 256

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Solution

The fourth proportional to 430.64, 594.30 and 256 is: 353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.64 : 594.30 = 256 : x
  2. Step 2: Convert to fraction form
    430.64/594.30 = 256/x
  3. Step 3: Cross multiply
    430.64x = 594.30 × 256
  4. Step 4: Simplify right side
    430.64x = 152,140.80
  5. Step 5: Solve for x
    x = 152,140.80/430.64
  6. Step 6: Final answer
    x = 353.29

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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.