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Finding the Fourth Proportional to 509.04, 763.59 and 363.42

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Solution

The fourth proportional to 509.04, 763.59 and 363.42 is: 545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 763.59 = 363.42 : x
  2. Step 2: Convert to fraction form
    509.04/763.59 = 363.42/x
  3. Step 3: Cross multiply
    509.04x = 763.59 × 363.42
  4. Step 4: Simplify right side
    509.04x = 277,503.88
  5. Step 5: Solve for x
    x = 277,503.88/509.04
  6. Step 6: Final answer
    x = 545.15

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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.