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Finding the Fourth Proportional to 434.88, 648.96 and 386.40

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Solution

The fourth proportional to 434.88, 648.96 and 386.40 is: 576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.88 : 648.96 = 386.40 : x
  2. Step 2: Convert to fraction form
    434.88/648.96 = 386.40/x
  3. Step 3: Cross multiply
    434.88x = 648.96 × 386.40
  4. Step 4: Simplify right side
    434.88x = 250,758.14
  5. Step 5: Solve for x
    x = 250,758.14/434.88
  6. Step 6: Final answer
    x = 576.61

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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.