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Finding the Fourth Proportional to 520.93, 780.23 and 289.58

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Solution

The fourth proportional to 520.93, 780.23 and 289.58 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.93 : 780.23 = 289.58 : x
  2. Step 2: Convert to fraction form
    520.93/780.23 = 289.58/x
  3. Step 3: Cross multiply
    520.93x = 780.23 × 289.58
  4. Step 4: Simplify right side
    520.93x = 225,935.83
  5. Step 5: Solve for x
    x = 225,935.83/520.93
  6. Step 6: Final answer
    x = 433.72

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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.