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Finding the Fourth Proportional to 924.20, 1,385.38 and 376.70

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Solution

The fourth proportional to 924.20, 1,385.38 and 376.70 is: 564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.20 : 1,385.38 = 376.70 : x
  2. Step 2: Convert to fraction form
    924.20/1,385.38 = 376.70/x
  3. Step 3: Cross multiply
    924.20x = 1,385.38 × 376.70
  4. Step 4: Simplify right side
    924.20x = 521,864.78
  5. Step 5: Solve for x
    x = 521,864.78/924.20
  6. Step 6: Final answer
    x = 564.67

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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.