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Finding the Fourth Proportional to 667.34, 920.46 and 578.66

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Solution

The fourth proportional to 667.34, 920.46 and 578.66 is: 798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.34 : 920.46 = 578.66 : x
  2. Step 2: Convert to fraction form
    667.34/920.46 = 578.66/x
  3. Step 3: Cross multiply
    667.34x = 920.46 × 578.66
  4. Step 4: Simplify right side
    667.34x = 532,633.51
  5. Step 5: Solve for x
    x = 532,633.51/667.34
  6. Step 6: Final answer
    x = 798.14

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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.