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Finding the Fourth Proportional to 673.57, 929.63 and 378.77

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Solution

The fourth proportional to 673.57, 929.63 and 378.77 is: 522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.57 : 929.63 = 378.77 : x
  2. Step 2: Convert to fraction form
    673.57/929.63 = 378.77/x
  3. Step 3: Cross multiply
    673.57x = 929.63 × 378.77
  4. Step 4: Simplify right side
    673.57x = 352,115.96
  5. Step 5: Solve for x
    x = 352,115.96/673.57
  6. Step 6: Final answer
    x = 522.76

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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.