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Finding the Fourth Proportional to 501.92, 692.36 and 370.88

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Solution

The fourth proportional to 501.92, 692.36 and 370.88 is: 511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.92 : 692.36 = 370.88 : x
  2. Step 2: Convert to fraction form
    501.92/692.36 = 370.88/x
  3. Step 3: Cross multiply
    501.92x = 692.36 × 370.88
  4. Step 4: Simplify right side
    501.92x = 256,782.48
  5. Step 5: Solve for x
    x = 256,782.48/501.92
  6. Step 6: Final answer
    x = 511.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.