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Finding the Fourth Proportional to 495.84, 684.26 and 296.76

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Solution

The fourth proportional to 495.84, 684.26 and 296.76 is: 409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.84 : 684.26 = 296.76 : x
  2. Step 2: Convert to fraction form
    495.84/684.26 = 296.76/x
  3. Step 3: Cross multiply
    495.84x = 684.26 × 296.76
  4. Step 4: Simplify right side
    495.84x = 203,059.51
  5. Step 5: Solve for x
    x = 203,059.51/495.84
  6. Step 6: Final answer
    x = 409.53

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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.