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Finding the Fourth Proportional to 652.62, 977.67 and 344.10

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Solution

The fourth proportional to 652.62, 977.67 and 344.10 is: 515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.62 : 977.67 = 344.10 : x
  2. Step 2: Convert to fraction form
    652.62/977.67 = 344.10/x
  3. Step 3: Cross multiply
    652.62x = 977.67 × 344.10
  4. Step 4: Simplify right side
    652.62x = 336,416.25
  5. Step 5: Solve for x
    x = 336,416.25/652.62
  6. Step 6: Final answer
    x = 515.49

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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.