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Finding the Fourth Proportional to 690.19, 952.86 and 441.89

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Solution

The fourth proportional to 690.19, 952.86 and 441.89 is: 610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.19 : 952.86 = 441.89 : x
  2. Step 2: Convert to fraction form
    690.19/952.86 = 441.89/x
  3. Step 3: Cross multiply
    690.19x = 952.86 × 441.89
  4. Step 4: Simplify right side
    690.19x = 421,059.31
  5. Step 5: Solve for x
    x = 421,059.31/690.19
  6. Step 6: Final answer
    x = 610.06

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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.