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Finding the Fourth Proportional to 501.12, 692.64 and 462.24

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Solution

The fourth proportional to 501.12, 692.64 and 462.24 is: 638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.12 : 692.64 = 462.24 : x
  2. Step 2: Convert to fraction form
    501.12/692.64 = 462.24/x
  3. Step 3: Cross multiply
    501.12x = 692.64 × 462.24
  4. Step 4: Simplify right side
    501.12x = 320,165.91
  5. Step 5: Solve for x
    x = 320,165.91/501.12
  6. Step 6: Final answer
    x = 638.90

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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.