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Finding the Fourth Proportional to 501.88, 692.02 and 408.45

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Solution

The fourth proportional to 501.88, 692.02 and 408.45 is: 563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.88 : 692.02 = 408.45 : x
  2. Step 2: Convert to fraction form
    501.88/692.02 = 408.45/x
  3. Step 3: Cross multiply
    501.88x = 692.02 × 408.45
  4. Step 4: Simplify right side
    501.88x = 282,652.11
  5. Step 5: Solve for x
    x = 282,652.11/501.88
  6. Step 6: Final answer
    x = 563.19

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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.