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Finding the Fourth Proportional to 510.50, 707.72 and 482.78

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Solution

The fourth proportional to 510.50, 707.72 and 482.78 is: 669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 707.72 = 482.78 : x
  2. Step 2: Convert to fraction form
    510.50/707.72 = 482.78/x
  3. Step 3: Cross multiply
    510.50x = 707.72 × 482.78
  4. Step 4: Simplify right side
    510.50x = 341,667.11
  5. Step 5: Solve for x
    x = 341,667.11/510.50
  6. Step 6: Final answer
    x = 669.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.