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Finding the Fourth Proportional to 670.68, 1,006.56 and 346.32

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Solution

The fourth proportional to 670.68, 1,006.56 and 346.32 is: 519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.68 : 1,006.56 = 346.32 : x
  2. Step 2: Convert to fraction form
    670.68/1,006.56 = 346.32/x
  3. Step 3: Cross multiply
    670.68x = 1,006.56 × 346.32
  4. Step 4: Simplify right side
    670.68x = 348,591.86
  5. Step 5: Solve for x
    x = 348,591.86/670.68
  6. Step 6: Final answer
    x = 519.76

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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.