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Finding the Fourth Proportional to 497.58, 745.65 and 280.71

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Solution

The fourth proportional to 497.58, 745.65 and 280.71 is: 420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 745.65 = 280.71 : x
  2. Step 2: Convert to fraction form
    497.58/745.65 = 280.71/x
  3. Step 3: Cross multiply
    497.58x = 745.65 × 280.71
  4. Step 4: Simplify right side
    497.58x = 209,311.41
  5. Step 5: Solve for x
    x = 209,311.41/497.58
  6. Step 6: Final answer
    x = 420.66

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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.