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Finding the Fourth Proportional to 431.00, 595.26 and 284.28

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Solution

The fourth proportional to 431.00, 595.26 and 284.28 is: 392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.00 : 595.26 = 284.28 : x
  2. Step 2: Convert to fraction form
    431.00/595.26 = 284.28/x
  3. Step 3: Cross multiply
    431.00x = 595.26 × 284.28
  4. Step 4: Simplify right side
    431.00x = 169,220.51
  5. Step 5: Solve for x
    x = 169,220.51/431.00
  6. Step 6: Final answer
    x = 392.63

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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.