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Finding the Fourth Proportional to 652.30, 977.37 and 459.52

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Solution

The fourth proportional to 652.30, 977.37 and 459.52 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.30 : 977.37 = 459.52 : x
  2. Step 2: Convert to fraction form
    652.30/977.37 = 459.52/x
  3. Step 3: Cross multiply
    652.30x = 977.37 × 459.52
  4. Step 4: Simplify right side
    652.30x = 449,121.06
  5. Step 5: Solve for x
    x = 449,121.06/652.30
  6. Step 6: Final answer
    x = 688.52

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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.