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Finding the Fourth Proportional to 603.42, 904.82 and 213.35

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Solution

The fourth proportional to 603.42, 904.82 and 213.35 is: 319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.42 : 904.82 = 213.35 : x
  2. Step 2: Convert to fraction form
    603.42/904.82 = 213.35/x
  3. Step 3: Cross multiply
    603.42x = 904.82 × 213.35
  4. Step 4: Simplify right side
    603.42x = 193,037.76
  5. Step 5: Solve for x
    x = 193,037.76/603.42
  6. Step 6: Final answer
    x = 319.91

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