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Finding the Fourth Proportional to 501.57, 692.27 and 362.16

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Solution

The fourth proportional to 501.57, 692.27 and 362.16 is: 499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 692.27 = 362.16 : x
  2. Step 2: Convert to fraction form
    501.57/692.27 = 362.16/x
  3. Step 3: Cross multiply
    501.57x = 692.27 × 362.16
  4. Step 4: Simplify right side
    501.57x = 250,710.69
  5. Step 5: Solve for x
    x = 250,710.69/501.57
  6. Step 6: Final answer
    x = 499.85

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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.