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Finding the Fourth Proportional to 501.53, 692.21 and 305.10

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Solution

The fourth proportional to 501.53, 692.21 and 305.10 is: 421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.53 : 692.21 = 305.10 : x
  2. Step 2: Convert to fraction form
    501.53/692.21 = 305.10/x
  3. Step 3: Cross multiply
    501.53x = 692.21 × 305.10
  4. Step 4: Simplify right side
    501.53x = 211,194.03
  5. Step 5: Solve for x
    x = 211,194.03/501.53
  6. Step 6: Final answer
    x = 421.10

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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.