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Finding the Fourth Proportional to 673.23, 929.09 and 378.53

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Solution

The fourth proportional to 673.23, 929.09 and 378.53 is: 522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.23 : 929.09 = 378.53 : x
  2. Step 2: Convert to fraction form
    673.23/929.09 = 378.53/x
  3. Step 3: Cross multiply
    673.23x = 929.09 × 378.53
  4. Step 4: Simplify right side
    673.23x = 351,684.74
  5. Step 5: Solve for x
    x = 351,684.74/673.23
  6. Step 6: Final answer
    x = 522.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.