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Finding the Fourth Proportional to 535.06, 801.70 and 514.80

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Solution

The fourth proportional to 535.06, 801.70 and 514.80 is: 771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.06 : 801.70 = 514.80 : x
  2. Step 2: Convert to fraction form
    535.06/801.70 = 514.80/x
  3. Step 3: Cross multiply
    535.06x = 801.70 × 514.80
  4. Step 4: Simplify right side
    535.06x = 412,715.16
  5. Step 5: Solve for x
    x = 412,715.16/535.06
  6. Step 6: Final answer
    x = 771.34

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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.