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Finding the Fourth Proportional to 662.92, 914.76 and 368.14

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Solution

The fourth proportional to 662.92, 914.76 and 368.14 is: 507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.92 : 914.76 = 368.14 : x
  2. Step 2: Convert to fraction form
    662.92/914.76 = 368.14/x
  3. Step 3: Cross multiply
    662.92x = 914.76 × 368.14
  4. Step 4: Simplify right side
    662.92x = 336,759.75
  5. Step 5: Solve for x
    x = 336,759.75/662.92
  6. Step 6: Final answer
    x = 507.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.