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Finding the Fourth Proportional to 334.23, 460.61 and 312.35

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Solution

The fourth proportional to 334.23, 460.61 and 312.35 is: 430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.23 : 460.61 = 312.35 : x
  2. Step 2: Convert to fraction form
    334.23/460.61 = 312.35/x
  3. Step 3: Cross multiply
    334.23x = 460.61 × 312.35
  4. Step 4: Simplify right side
    334.23x = 143,867.67
  5. Step 5: Solve for x
    x = 143,867.67/334.23
  6. Step 6: Final answer
    x = 430.45

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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.