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Finding the Fourth Proportional to 431.98, 595.88 and 313.81

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Solution

The fourth proportional to 431.98, 595.88 and 313.81 is: 432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.98 : 595.88 = 313.81 : x
  2. Step 2: Convert to fraction form
    431.98/595.88 = 313.81/x
  3. Step 3: Cross multiply
    431.98x = 595.88 × 313.81
  4. Step 4: Simplify right side
    431.98x = 186,991.53
  5. Step 5: Solve for x
    x = 186,991.53/431.98
  6. Step 6: Final answer
    x = 432.88

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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.