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Finding the Fourth Proportional to 495.52, 738.66 and 488.01

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Solution

The fourth proportional to 495.52, 738.66 and 488.01 is: 727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.52 : 738.66 = 488.01 : x
  2. Step 2: Convert to fraction form
    495.52/738.66 = 488.01/x
  3. Step 3: Cross multiply
    495.52x = 738.66 × 488.01
  4. Step 4: Simplify right side
    495.52x = 360,473.47
  5. Step 5: Solve for x
    x = 360,473.47/495.52
  6. Step 6: Final answer
    x = 727.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.