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Finding the Fourth Proportional to 460.89, 693.65 and 345.94

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Solution

The fourth proportional to 460.89, 693.65 and 345.94 is: 520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.89 : 693.65 = 345.94 : x
  2. Step 2: Convert to fraction form
    460.89/693.65 = 345.94/x
  3. Step 3: Cross multiply
    460.89x = 693.65 × 345.94
  4. Step 4: Simplify right side
    460.89x = 239,960.41
  5. Step 5: Solve for x
    x = 239,960.41/460.89
  6. Step 6: Final answer
    x = 520.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.