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Finding the Fourth Proportional to 510.46, 701.72 and 439.30

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Solution

The fourth proportional to 510.46, 701.72 and 439.30 is: 603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.46 : 701.72 = 439.30 : x
  2. Step 2: Convert to fraction form
    510.46/701.72 = 439.30/x
  3. Step 3: Cross multiply
    510.46x = 701.72 × 439.30
  4. Step 4: Simplify right side
    510.46x = 308,265.60
  5. Step 5: Solve for x
    x = 308,265.60/510.46
  6. Step 6: Final answer
    x = 603.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.