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Finding the Fourth Proportional to 501.91, 692.61 and 292.07

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Solution

The fourth proportional to 501.91, 692.61 and 292.07 is: 403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.91 : 692.61 = 292.07 : x
  2. Step 2: Convert to fraction form
    501.91/692.61 = 292.07/x
  3. Step 3: Cross multiply
    501.91x = 692.61 × 292.07
  4. Step 4: Simplify right side
    501.91x = 202,290.60
  5. Step 5: Solve for x
    x = 202,290.60/501.91
  6. Step 6: Final answer
    x = 403.04

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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.