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Finding the Fourth Proportional to 456.24, 628.97 and 386.02

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Solution

The fourth proportional to 456.24, 628.97 and 386.02 is: 532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.24 : 628.97 = 386.02 : x
  2. Step 2: Convert to fraction form
    456.24/628.97 = 386.02/x
  3. Step 3: Cross multiply
    456.24x = 628.97 × 386.02
  4. Step 4: Simplify right side
    456.24x = 242,795.00
  5. Step 5: Solve for x
    x = 242,795.00/456.24
  6. Step 6: Final answer
    x = 532.17

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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.