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Finding the Fourth Proportional to 497.04, 745.98 and 253.74

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Solution

The fourth proportional to 497.04, 745.98 and 253.74 is: 380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.04 : 745.98 = 253.74 : x
  2. Step 2: Convert to fraction form
    497.04/745.98 = 253.74/x
  3. Step 3: Cross multiply
    497.04x = 745.98 × 253.74
  4. Step 4: Simplify right side
    497.04x = 189,284.97
  5. Step 5: Solve for x
    x = 189,284.97/497.04
  6. Step 6: Final answer
    x = 380.82

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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.