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Finding the Fourth Proportional to 673.09, 928.82 and 407.59

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Solution

The fourth proportional to 673.09, 928.82 and 407.59 is: 562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.09 : 928.82 = 407.59 : x
  2. Step 2: Convert to fraction form
    673.09/928.82 = 407.59/x
  3. Step 3: Cross multiply
    673.09x = 928.82 × 407.59
  4. Step 4: Simplify right side
    673.09x = 378,571.06
  5. Step 5: Solve for x
    x = 378,571.06/673.09
  6. Step 6: Final answer
    x = 562.44

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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.