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Finding the Fourth Proportional to 602.07, 902.29 and 276.68

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Solution

The fourth proportional to 602.07, 902.29 and 276.68 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.07 : 902.29 = 276.68 : x
  2. Step 2: Convert to fraction form
    602.07/902.29 = 276.68/x
  3. Step 3: Cross multiply
    602.07x = 902.29 × 276.68
  4. Step 4: Simplify right side
    602.07x = 249,645.60
  5. Step 5: Solve for x
    x = 249,645.60/602.07
  6. Step 6: Final answer
    x = 414.65

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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.