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Finding the Fourth Proportional to 337.34, 465.34 and 313.88

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Solution

The fourth proportional to 337.34, 465.34 and 313.88 is: 432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.34 : 465.34 = 313.88 : x
  2. Step 2: Convert to fraction form
    337.34/465.34 = 313.88/x
  3. Step 3: Cross multiply
    337.34x = 465.34 × 313.88
  4. Step 4: Simplify right side
    337.34x = 146,060.92
  5. Step 5: Solve for x
    x = 146,060.92/337.34
  6. Step 6: Final answer
    x = 432.98

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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.