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Finding the Fourth Proportional to 456.05, 630.63 and 345.48

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Solution

The fourth proportional to 456.05, 630.63 and 345.48 is: 477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.05 : 630.63 = 345.48 : x
  2. Step 2: Convert to fraction form
    456.05/630.63 = 345.48/x
  3. Step 3: Cross multiply
    456.05x = 630.63 × 345.48
  4. Step 4: Simplify right side
    456.05x = 217,870.05
  5. Step 5: Solve for x
    x = 217,870.05/456.05
  6. Step 6: Final answer
    x = 477.74

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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.