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Finding the Fourth Proportional to 403.68, 602.95 and 322.27

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Solution

The fourth proportional to 403.68, 602.95 and 322.27 is: 481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.68 : 602.95 = 322.27 : x
  2. Step 2: Convert to fraction form
    403.68/602.95 = 322.27/x
  3. Step 3: Cross multiply
    403.68x = 602.95 × 322.27
  4. Step 4: Simplify right side
    403.68x = 194,312.70
  5. Step 5: Solve for x
    x = 194,312.70/403.68
  6. Step 6: Final answer
    x = 481.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.