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Finding the Fourth Proportional to 525.68, 787.68 and 380.72

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Solution

The fourth proportional to 525.68, 787.68 and 380.72 is: 570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.68 : 787.68 = 380.72 : x
  2. Step 2: Convert to fraction form
    525.68/787.68 = 380.72/x
  3. Step 3: Cross multiply
    525.68x = 787.68 × 380.72
  4. Step 4: Simplify right side
    525.68x = 299,885.53
  5. Step 5: Solve for x
    x = 299,885.53/525.68
  6. Step 6: Final answer
    x = 570.47

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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.