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Finding the Fourth Proportional to 652.32, 979.02 and 262.59

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Solution

The fourth proportional to 652.32, 979.02 and 262.59 is: 394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 979.02 = 262.59 : x
  2. Step 2: Convert to fraction form
    652.32/979.02 = 262.59/x
  3. Step 3: Cross multiply
    652.32x = 979.02 × 262.59
  4. Step 4: Simplify right side
    652.32x = 257,080.86
  5. Step 5: Solve for x
    x = 257,080.86/652.32
  6. Step 6: Final answer
    x = 394.10

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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.