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Finding the Fourth Proportional to 497.58, 745.64 and 280.70

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Solution

The fourth proportional to 497.58, 745.64 and 280.70 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 745.64 = 280.70 : x
  2. Step 2: Convert to fraction form
    497.58/745.64 = 280.70/x
  3. Step 3: Cross multiply
    497.58x = 745.64 × 280.70
  4. Step 4: Simplify right side
    497.58x = 209,301.15
  5. Step 5: Solve for x
    x = 209,301.15/497.58
  6. Step 6: Final answer
    x = 420.64

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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.