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Finding the Fourth Proportional to 501.98, 692.82 and 292.20

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Solution

The fourth proportional to 501.98, 692.82 and 292.20 is: 403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.98 : 692.82 = 292.20 : x
  2. Step 2: Convert to fraction form
    501.98/692.82 = 292.20/x
  3. Step 3: Cross multiply
    501.98x = 692.82 × 292.20
  4. Step 4: Simplify right side
    501.98x = 202,442.00
  5. Step 5: Solve for x
    x = 202,442.00/501.98
  6. Step 6: Final answer
    x = 403.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.