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Finding the Fourth Proportional to 552.42, 829.27 and 437.25

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Solution

The fourth proportional to 552.42, 829.27 and 437.25 is: 656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.42 : 829.27 = 437.25 : x
  2. Step 2: Convert to fraction form
    552.42/829.27 = 437.25/x
  3. Step 3: Cross multiply
    552.42x = 829.27 × 437.25
  4. Step 4: Simplify right side
    552.42x = 362,598.31
  5. Step 5: Solve for x
    x = 362,598.31/552.42
  6. Step 6: Final answer
    x = 656.38

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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.