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Finding the Fourth Proportional to 460.39, 689.10 and 295.96

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Solution

The fourth proportional to 460.39, 689.10 and 295.96 is: 442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.39 : 689.10 = 295.96 : x
  2. Step 2: Convert to fraction form
    460.39/689.10 = 295.96/x
  3. Step 3: Cross multiply
    460.39x = 689.10 × 295.96
  4. Step 4: Simplify right side
    460.39x = 203,946.04
  5. Step 5: Solve for x
    x = 203,946.04/460.39
  6. Step 6: Final answer
    x = 442.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.