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Finding the Fourth Proportional to 431.30, 595.24 and 256.64

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Solution

The fourth proportional to 431.30, 595.24 and 256.64 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.30 : 595.24 = 256.64 : x
  2. Step 2: Convert to fraction form
    431.30/595.24 = 256.64/x
  3. Step 3: Cross multiply
    431.30x = 595.24 × 256.64
  4. Step 4: Simplify right side
    431.30x = 152,764.20
  5. Step 5: Solve for x
    x = 152,764.20/431.30
  6. Step 6: Final answer
    x = 354.20

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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.