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Finding the Fourth Proportional to 403.36, 557.76 and 345.76

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Solution

The fourth proportional to 403.36, 557.76 and 345.76 is: 478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.36 : 557.76 = 345.76 : x
  2. Step 2: Convert to fraction form
    403.36/557.76 = 345.76/x
  3. Step 3: Cross multiply
    403.36x = 557.76 × 345.76
  4. Step 4: Simplify right side
    403.36x = 192,851.10
  5. Step 5: Solve for x
    x = 192,851.10/403.36
  6. Step 6: Final answer
    x = 478.11

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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.