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Finding the Fourth Proportional to 501.52, 692.16 and 305.02

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Solution

The fourth proportional to 501.52, 692.16 and 305.02 is: 420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.52 : 692.16 = 305.02 : x
  2. Step 2: Convert to fraction form
    501.52/692.16 = 305.02/x
  3. Step 3: Cross multiply
    501.52x = 692.16 × 305.02
  4. Step 4: Simplify right side
    501.52x = 211,122.64
  5. Step 5: Solve for x
    x = 211,122.64/501.52
  6. Step 6: Final answer
    x = 420.97

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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.