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Finding the Fourth Proportional to 431.40, 595.32 and 256.74

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Solution

The fourth proportional to 431.40, 595.32 and 256.74 is: 354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.40 : 595.32 = 256.74 : x
  2. Step 2: Convert to fraction form
    431.40/595.32 = 256.74/x
  3. Step 3: Cross multiply
    431.40x = 595.32 × 256.74
  4. Step 4: Simplify right side
    431.40x = 152,842.46
  5. Step 5: Solve for x
    x = 152,842.46/431.40
  6. Step 6: Final answer
    x = 354.29

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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.