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Finding the Fourth Proportional to 700.20, 965.52 and 438.12

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Solution

The fourth proportional to 700.20, 965.52 and 438.12 is: 604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.20 : 965.52 = 438.12 : x
  2. Step 2: Convert to fraction form
    700.20/965.52 = 438.12/x
  3. Step 3: Cross multiply
    700.20x = 965.52 × 438.12
  4. Step 4: Simplify right side
    700.20x = 423,013.62
  5. Step 5: Solve for x
    x = 423,013.62/700.20
  6. Step 6: Final answer
    x = 604.13

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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.