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Finding the Fourth Proportional to 923.23, 1,385.05 and 307.14

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Solution

The fourth proportional to 923.23, 1,385.05 and 307.14 is: 460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.23 : 1,385.05 = 307.14 : x
  2. Step 2: Convert to fraction form
    923.23/1,385.05 = 307.14/x
  3. Step 3: Cross multiply
    923.23x = 1,385.05 × 307.14
  4. Step 4: Simplify right side
    923.23x = 425,404.26
  5. Step 5: Solve for x
    x = 425,404.26/923.23
  6. Step 6: Final answer
    x = 460.78

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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.