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Finding the Fourth Proportional to 652.34, 977.60 and 344.07

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Solution

The fourth proportional to 652.34, 977.60 and 344.07 is: 515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.34 : 977.60 = 344.07 : x
  2. Step 2: Convert to fraction form
    652.34/977.60 = 344.07/x
  3. Step 3: Cross multiply
    652.34x = 977.60 × 344.07
  4. Step 4: Simplify right side
    652.34x = 336,363.69
  5. Step 5: Solve for x
    x = 336,363.69/652.34
  6. Step 6: Final answer
    x = 515.62

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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.