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Finding the Fourth Proportional to 924.03, 1,385.71 and 338.84

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Solution

The fourth proportional to 924.03, 1,385.71 and 338.84 is: 508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.03 : 1,385.71 = 338.84 : x
  2. Step 2: Convert to fraction form
    924.03/1,385.71 = 338.84/x
  3. Step 3: Cross multiply
    924.03x = 1,385.71 × 338.84
  4. Step 4: Simplify right side
    924.03x = 469,533.98
  5. Step 5: Solve for x
    x = 469,533.98/924.03
  6. Step 6: Final answer
    x = 508.14

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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.