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Finding the Fourth Proportional to 431.69, 595.79 and 284.98

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Solution

The fourth proportional to 431.69, 595.79 and 284.98 is: 393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.69 : 595.79 = 284.98 : x
  2. Step 2: Convert to fraction form
    431.69/595.79 = 284.98/x
  3. Step 3: Cross multiply
    431.69x = 595.79 × 284.98
  4. Step 4: Simplify right side
    431.69x = 169,788.23
  5. Step 5: Solve for x
    x = 169,788.23/431.69
  6. Step 6: Final answer
    x = 393.31

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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.