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Finding the Fourth Proportional to 601.38, 902.07 and 510.66

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Solution

The fourth proportional to 601.38, 902.07 and 510.66 is: 765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 902.07 = 510.66 : x
  2. Step 2: Convert to fraction form
    601.38/902.07 = 510.66/x
  3. Step 3: Cross multiply
    601.38x = 902.07 × 510.66
  4. Step 4: Simplify right side
    601.38x = 460,651.07
  5. Step 5: Solve for x
    x = 460,651.07/601.38
  6. Step 6: Final answer
    x = 765.99

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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.