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Finding the Fourth Proportional to 520.64, 780.42 and 232.10

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Solution

The fourth proportional to 520.64, 780.42 and 232.10 is: 347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.64 : 780.42 = 232.10 : x
  2. Step 2: Convert to fraction form
    520.64/780.42 = 232.10/x
  3. Step 3: Cross multiply
    520.64x = 780.42 × 232.10
  4. Step 4: Simplify right side
    520.64x = 181,135.48
  5. Step 5: Solve for x
    x = 181,135.48/520.64
  6. Step 6: Final answer
    x = 347.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.