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Finding the Fourth Proportional to 652.36, 977.28 and 409.36

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Solution

The fourth proportional to 652.36, 977.28 and 409.36 is: 613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.36 : 977.28 = 409.36 : x
  2. Step 2: Convert to fraction form
    652.36/977.28 = 409.36/x
  3. Step 3: Cross multiply
    652.36x = 977.28 × 409.36
  4. Step 4: Simplify right side
    652.36x = 400,059.34
  5. Step 5: Solve for x
    x = 400,059.34/652.36
  6. Step 6: Final answer
    x = 613.25

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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.