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Finding the Fourth Proportional to 520.65, 780.89 and 301.14

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Solution

The fourth proportional to 520.65, 780.89 and 301.14 is: 451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.65 : 780.89 = 301.14 : x
  2. Step 2: Convert to fraction form
    520.65/780.89 = 301.14/x
  3. Step 3: Cross multiply
    520.65x = 780.89 × 301.14
  4. Step 4: Simplify right side
    520.65x = 235,155.71
  5. Step 5: Solve for x
    x = 235,155.71/520.65
  6. Step 6: Final answer
    x = 451.66

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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.