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Finding the Fourth Proportional to 497.08, 745.62 and 461.44

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Solution

The fourth proportional to 497.08, 745.62 and 461.44 is: 692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.08 : 745.62 = 461.44 : x
  2. Step 2: Convert to fraction form
    497.08/745.62 = 461.44/x
  3. Step 3: Cross multiply
    497.08x = 745.62 × 461.44
  4. Step 4: Simplify right side
    497.08x = 344,058.89
  5. Step 5: Solve for x
    x = 344,058.89/497.08
  6. Step 6: Final answer
    x = 692.16

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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.