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Finding the Fourth Proportional to 431.06, 594.97 and 256.51

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Solution

The fourth proportional to 431.06, 594.97 and 256.51 is: 354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 594.97 = 256.51 : x
  2. Step 2: Convert to fraction form
    431.06/594.97 = 256.51/x
  3. Step 3: Cross multiply
    431.06x = 594.97 × 256.51
  4. Step 4: Simplify right side
    431.06x = 152,613.63
  5. Step 5: Solve for x
    x = 152,613.63/431.06
  6. Step 6: Final answer
    x = 354.04

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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.