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Finding the Fourth Proportional to 495.51, 742.65 and 202.99

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Solution

The fourth proportional to 495.51, 742.65 and 202.99 is: 304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.51 : 742.65 = 202.99 : x
  2. Step 2: Convert to fraction form
    495.51/742.65 = 202.99/x
  3. Step 3: Cross multiply
    495.51x = 742.65 × 202.99
  4. Step 4: Simplify right side
    495.51x = 150,750.52
  5. Step 5: Solve for x
    x = 150,750.52/495.51
  6. Step 6: Final answer
    x = 304.23

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Why These Related Problems?

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