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Finding the Fourth Proportional to 501.55, 692.33 and 449.00

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Solution

The fourth proportional to 501.55, 692.33 and 449.00 is: 619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.55 : 692.33 = 449.00 : x
  2. Step 2: Convert to fraction form
    501.55/692.33 = 449.00/x
  3. Step 3: Cross multiply
    501.55x = 692.33 × 449.00
  4. Step 4: Simplify right side
    501.55x = 310,853.06
  5. Step 5: Solve for x
    x = 310,853.06/501.55
  6. Step 6: Final answer
    x = 619.79

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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.