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Finding the Fourth Proportional to 431.42, 595.16 and 256.66

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Solution

The fourth proportional to 431.42, 595.16 and 256.66 is: 354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.42 : 595.16 = 256.66 : x
  2. Step 2: Convert to fraction form
    431.42/595.16 = 256.66/x
  3. Step 3: Cross multiply
    431.42x = 595.16 × 256.66
  4. Step 4: Simplify right side
    431.42x = 152,752.48
  5. Step 5: Solve for x
    x = 152,752.48/431.42
  6. Step 6: Final answer
    x = 354.07

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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.