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Finding the Fourth Proportional to 670.14, 1,005.54 and 328.14

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Solution

The fourth proportional to 670.14, 1,005.54 and 328.14 is: 492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.14 : 1,005.54 = 328.14 : x
  2. Step 2: Convert to fraction form
    670.14/1,005.54 = 328.14/x
  3. Step 3: Cross multiply
    670.14x = 1,005.54 × 328.14
  4. Step 4: Simplify right side
    670.14x = 329,957.90
  5. Step 5: Solve for x
    x = 329,957.90/670.14
  6. Step 6: Final answer
    x = 492.37

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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.