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Finding the Fourth Proportional to 520.10, 780.30 and 154.88

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Solution

The fourth proportional to 520.10, 780.30 and 154.88 is: 232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.10 : 780.30 = 154.88 : x
  2. Step 2: Convert to fraction form
    520.10/780.30 = 154.88/x
  3. Step 3: Cross multiply
    520.10x = 780.30 × 154.88
  4. Step 4: Simplify right side
    520.10x = 120,852.86
  5. Step 5: Solve for x
    x = 120,852.86/520.10
  6. Step 6: Final answer
    x = 232.36

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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.