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Finding the Fourth Proportional to 497.07, 745.74 and 253.80

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Solution

The fourth proportional to 497.07, 745.74 and 253.80 is: 380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.07 : 745.74 = 253.80 : x
  2. Step 2: Convert to fraction form
    497.07/745.74 = 253.80/x
  3. Step 3: Cross multiply
    497.07x = 745.74 × 253.80
  4. Step 4: Simplify right side
    497.07x = 189,268.81
  5. Step 5: Solve for x
    x = 189,268.81/497.07
  6. Step 6: Final answer
    x = 380.77

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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.