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Finding the Fourth Proportional to 666.75, 920.52 and 430.80

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Solution

The fourth proportional to 666.75, 920.52 and 430.80 is: 594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.75 : 920.52 = 430.80 : x
  2. Step 2: Convert to fraction form
    666.75/920.52 = 430.80/x
  3. Step 3: Cross multiply
    666.75x = 920.52 × 430.80
  4. Step 4: Simplify right side
    666.75x = 396,560.02
  5. Step 5: Solve for x
    x = 396,560.02/666.75
  6. Step 6: Final answer
    x = 594.77

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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.