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Finding the Fourth Proportional to 661.25, 992.16 and 353.02

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Solution

The fourth proportional to 661.25, 992.16 and 353.02 is: 529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.25 : 992.16 = 353.02 : x
  2. Step 2: Convert to fraction form
    661.25/992.16 = 353.02/x
  3. Step 3: Cross multiply
    661.25x = 992.16 × 353.02
  4. Step 4: Simplify right side
    661.25x = 350,247.36
  5. Step 5: Solve for x
    x = 350,247.36/661.25
  6. Step 6: Final answer
    x = 529.67

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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.