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Finding the Fourth Proportional to 402.84, 605.07 and 357.75

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Solution

The fourth proportional to 402.84, 605.07 and 357.75 is: 537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 605.07 = 357.75 : x
  2. Step 2: Convert to fraction form
    402.84/605.07 = 357.75/x
  3. Step 3: Cross multiply
    402.84x = 605.07 × 357.75
  4. Step 4: Simplify right side
    402.84x = 216,463.79
  5. Step 5: Solve for x
    x = 216,463.79/402.84
  6. Step 6: Final answer
    x = 537.34

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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.