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Finding the Fourth Proportional to 924.39, 1,385.66 and 376.22

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Solution

The fourth proportional to 924.39, 1,385.66 and 376.22 is: 563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.39 : 1,385.66 = 376.22 : x
  2. Step 2: Convert to fraction form
    924.39/1,385.66 = 376.22/x
  3. Step 3: Cross multiply
    924.39x = 1,385.66 × 376.22
  4. Step 4: Simplify right side
    924.39x = 521,313.01
  5. Step 5: Solve for x
    x = 521,313.01/924.39
  6. Step 6: Final answer
    x = 563.95

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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.