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Finding the Fourth Proportional to 602.97, 904.20 and 212.85

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Solution

The fourth proportional to 602.97, 904.20 and 212.85 is: 319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.97 : 904.20 = 212.85 : x
  2. Step 2: Convert to fraction form
    602.97/904.20 = 212.85/x
  3. Step 3: Cross multiply
    602.97x = 904.20 × 212.85
  4. Step 4: Simplify right side
    602.97x = 192,458.97
  5. Step 5: Solve for x
    x = 192,458.97/602.97
  6. Step 6: Final answer
    x = 319.18

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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.