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Finding the Fourth Proportional to 574.02, 859.95 and 509.22

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Solution

The fourth proportional to 574.02, 859.95 and 509.22 is: 762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.02 : 859.95 = 509.22 : x
  2. Step 2: Convert to fraction form
    574.02/859.95 = 509.22/x
  3. Step 3: Cross multiply
    574.02x = 859.95 × 509.22
  4. Step 4: Simplify right side
    574.02x = 437,903.74
  5. Step 5: Solve for x
    x = 437,903.74/574.02
  6. Step 6: Final answer
    x = 762.87

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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.