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Finding the Fourth Proportional to 602.14, 901.58 and 385.06

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Solution

The fourth proportional to 602.14, 901.58 and 385.06 is: 576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.14 : 901.58 = 385.06 : x
  2. Step 2: Convert to fraction form
    602.14/901.58 = 385.06/x
  3. Step 3: Cross multiply
    602.14x = 901.58 × 385.06
  4. Step 4: Simplify right side
    602.14x = 347,162.39
  5. Step 5: Solve for x
    x = 347,162.39/602.14
  6. Step 6: Final answer
    x = 576.55

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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.