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Finding the Fourth Proportional to 602.20, 903.16 and 212.24

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Solution

The fourth proportional to 602.20, 903.16 and 212.24 is: 318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.20 : 903.16 = 212.24 : x
  2. Step 2: Convert to fraction form
    602.20/903.16 = 212.24/x
  3. Step 3: Cross multiply
    602.20x = 903.16 × 212.24
  4. Step 4: Simplify right side
    602.20x = 191,686.68
  5. Step 5: Solve for x
    x = 191,686.68/602.20
  6. Step 6: Final answer
    x = 318.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.