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Finding the Fourth Proportional to 659.25, 989.16 and 351.02

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Solution

The fourth proportional to 659.25, 989.16 and 351.02 is: 526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.25 : 989.16 = 351.02 : x
  2. Step 2: Convert to fraction form
    659.25/989.16 = 351.02/x
  3. Step 3: Cross multiply
    659.25x = 989.16 × 351.02
  4. Step 4: Simplify right side
    659.25x = 347,210.00
  5. Step 5: Solve for x
    x = 347,210.00/659.25
  6. Step 6: Final answer
    x = 526.67

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Why These Related Problems?

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