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Finding the Fourth Proportional to 465.63, 639.20 and 400.02

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Solution

The fourth proportional to 465.63, 639.20 and 400.02 is: 549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.63 : 639.20 = 400.02 : x
  2. Step 2: Convert to fraction form
    465.63/639.20 = 400.02/x
  3. Step 3: Cross multiply
    465.63x = 639.20 × 400.02
  4. Step 4: Simplify right side
    465.63x = 255,692.78
  5. Step 5: Solve for x
    x = 255,692.78/465.63
  6. Step 6: Final answer
    x = 549.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.