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Finding the Fourth Proportional to 606.08, 907.68 and 509.60

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Solution

The fourth proportional to 606.08, 907.68 and 509.60 is: 763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.08 : 907.68 = 509.60 : x
  2. Step 2: Convert to fraction form
    606.08/907.68 = 509.60/x
  3. Step 3: Cross multiply
    606.08x = 907.68 × 509.60
  4. Step 4: Simplify right side
    606.08x = 462,553.73
  5. Step 5: Solve for x
    x = 462,553.73/606.08
  6. Step 6: Final answer
    x = 763.19

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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.