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Finding the Fourth Proportional to 501.96, 692.70 and 302.80

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Solution

The fourth proportional to 501.96, 692.70 and 302.80 is: 417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.96 : 692.70 = 302.80 : x
  2. Step 2: Convert to fraction form
    501.96/692.70 = 302.80/x
  3. Step 3: Cross multiply
    501.96x = 692.70 × 302.80
  4. Step 4: Simplify right side
    501.96x = 209,747.75
  5. Step 5: Solve for x
    x = 209,747.75/501.96
  6. Step 6: Final answer
    x = 417.86

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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.