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Finding the Fourth Proportional to 551.88, 827.14 and 435.88

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Solution

The fourth proportional to 551.88, 827.14 and 435.88 is: 653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.88 : 827.14 = 435.88 : x
  2. Step 2: Convert to fraction form
    551.88/827.14 = 435.88/x
  3. Step 3: Cross multiply
    551.88x = 827.14 × 435.88
  4. Step 4: Simplify right side
    551.88x = 360,533.78
  5. Step 5: Solve for x
    x = 360,533.78/551.88
  6. Step 6: Final answer
    x = 653.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.