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Finding the Fourth Proportional to 650.02, 975.02 and 325.38

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Solution

The fourth proportional to 650.02, 975.02 and 325.38 is: 488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.02 : 975.02 = 325.38 : x
  2. Step 2: Convert to fraction form
    650.02/975.02 = 325.38/x
  3. Step 3: Cross multiply
    650.02x = 975.02 × 325.38
  4. Step 4: Simplify right side
    650.02x = 317,252.82
  5. Step 5: Solve for x
    x = 317,252.82/650.02
  6. Step 6: Final answer
    x = 488.07

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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.