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Finding the Fourth Proportional to 495.40, 738.61 and 482.58

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Solution

The fourth proportional to 495.40, 738.61 and 482.58 is: 719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.40 : 738.61 = 482.58 : x
  2. Step 2: Convert to fraction form
    495.40/738.61 = 482.58/x
  3. Step 3: Cross multiply
    495.40x = 738.61 × 482.58
  4. Step 4: Simplify right side
    495.40x = 356,436.00
  5. Step 5: Solve for x
    x = 356,436.00/495.40
  6. Step 6: Final answer
    x = 719.49

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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.