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Finding the Fourth Proportional to 501.66, 692.42 and 305.14

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Solution

The fourth proportional to 501.66, 692.42 and 305.14 is: 421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.66 : 692.42 = 305.14 : x
  2. Step 2: Convert to fraction form
    501.66/692.42 = 305.14/x
  3. Step 3: Cross multiply
    501.66x = 692.42 × 305.14
  4. Step 4: Simplify right side
    501.66x = 211,285.04
  5. Step 5: Solve for x
    x = 211,285.04/501.66
  6. Step 6: Final answer
    x = 421.17

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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.