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Finding the Fourth Proportional to 431.06, 595.26 and 313.71

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Solution

The fourth proportional to 431.06, 595.26 and 313.71 is: 433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 595.26 = 313.71 : x
  2. Step 2: Convert to fraction form
    431.06/595.26 = 313.71/x
  3. Step 3: Cross multiply
    431.06x = 595.26 × 313.71
  4. Step 4: Simplify right side
    431.06x = 186,737.45
  5. Step 5: Solve for x
    x = 186,737.45/431.06
  6. Step 6: Final answer
    x = 433.21

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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.