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Finding the Fourth Proportional to 403.60, 557.12 and 320.88

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Solution

The fourth proportional to 403.60, 557.12 and 320.88 is: 442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.60 : 557.12 = 320.88 : x
  2. Step 2: Convert to fraction form
    403.60/557.12 = 320.88/x
  3. Step 3: Cross multiply
    403.60x = 557.12 × 320.88
  4. Step 4: Simplify right side
    403.60x = 178,768.67
  5. Step 5: Solve for x
    x = 178,768.67/403.60
  6. Step 6: Final answer
    x = 442.94

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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.