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Finding the Fourth Proportional to 574.61, 859.79 and 509.09

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Solution

The fourth proportional to 574.61, 859.79 and 509.09 is: 761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.61 : 859.79 = 509.09 : x
  2. Step 2: Convert to fraction form
    574.61/859.79 = 509.09/x
  3. Step 3: Cross multiply
    574.61x = 859.79 × 509.09
  4. Step 4: Simplify right side
    574.61x = 437,703.65
  5. Step 5: Solve for x
    x = 437,703.65/574.61
  6. Step 6: Final answer
    x = 761.75

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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.