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Finding the Fourth Proportional to 509.90, 763.59 and 293.06

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Solution

The fourth proportional to 509.90, 763.59 and 293.06 is: 438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.90 : 763.59 = 293.06 : x
  2. Step 2: Convert to fraction form
    509.90/763.59 = 293.06/x
  3. Step 3: Cross multiply
    509.90x = 763.59 × 293.06
  4. Step 4: Simplify right side
    509.90x = 223,777.69
  5. Step 5: Solve for x
    x = 223,777.69/509.90
  6. Step 6: Final answer
    x = 438.87

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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.