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Finding the Fourth Proportional to 431.65, 595.65 and 256.96

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Solution

The fourth proportional to 431.65, 595.65 and 256.96 is: 354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.65 : 595.65 = 256.96 : x
  2. Step 2: Convert to fraction form
    431.65/595.65 = 256.96/x
  3. Step 3: Cross multiply
    431.65x = 595.65 × 256.96
  4. Step 4: Simplify right side
    431.65x = 153,058.22
  5. Step 5: Solve for x
    x = 153,058.22/431.65
  6. Step 6: Final answer
    x = 354.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.