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Finding the Fourth Proportional to 553.68, 831 and 510.48

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Solution

The fourth proportional to 553.68, 831 and 510.48 is: 766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.68 : 831 = 510.48 : x
  2. Step 2: Convert to fraction form
    553.68/831 = 510.48/x
  3. Step 3: Cross multiply
    553.68x = 831 × 510.48
  4. Step 4: Simplify right side
    553.68x = 424,208.88
  5. Step 5: Solve for x
    x = 424,208.88/553.68
  6. Step 6: Final answer
    x = 766.16

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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.