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Finding the Fourth Proportional to 497.04, 745.44 and 240.48

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Solution

The fourth proportional to 497.04, 745.44 and 240.48 is: 360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.04 : 745.44 = 240.48 : x
  2. Step 2: Convert to fraction form
    497.04/745.44 = 240.48/x
  3. Step 3: Cross multiply
    497.04x = 745.44 × 240.48
  4. Step 4: Simplify right side
    497.04x = 179,263.41
  5. Step 5: Solve for x
    x = 179,263.41/497.04
  6. Step 6: Final answer
    x = 360.66

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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.