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Finding the Fourth Proportional to 431.93, 595.89 and 282.72

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Solution

The fourth proportional to 431.93, 595.89 and 282.72 is: 390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.93 : 595.89 = 282.72 : x
  2. Step 2: Convert to fraction form
    431.93/595.89 = 282.72/x
  3. Step 3: Cross multiply
    431.93x = 595.89 × 282.72
  4. Step 4: Simplify right side
    431.93x = 168,470.02
  5. Step 5: Solve for x
    x = 168,470.02/431.93
  6. Step 6: Final answer
    x = 390.04

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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.