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Finding the Fourth Proportional to 501.96, 692.15 and 354.34

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Solution

The fourth proportional to 501.96, 692.15 and 354.34 is: 488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.96 : 692.15 = 354.34 : x
  2. Step 2: Convert to fraction form
    501.96/692.15 = 354.34/x
  3. Step 3: Cross multiply
    501.96x = 692.15 × 354.34
  4. Step 4: Simplify right side
    501.96x = 245,256.43
  5. Step 5: Solve for x
    x = 245,256.43/501.96
  6. Step 6: Final answer
    x = 488.60

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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.