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Finding the Fourth Proportional to 602.00, 902.54 and 406.52

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Solution

The fourth proportional to 602.00, 902.54 and 406.52 is: 609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.00 : 902.54 = 406.52 : x
  2. Step 2: Convert to fraction form
    602.00/902.54 = 406.52/x
  3. Step 3: Cross multiply
    602.00x = 902.54 × 406.52
  4. Step 4: Simplify right side
    602.00x = 366,900.45
  5. Step 5: Solve for x
    x = 366,900.45/602.00
  6. Step 6: Final answer
    x = 609.47

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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.