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Finding the Fourth Proportional to 420.19, 578.59 and 363.69

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Solution

The fourth proportional to 420.19, 578.59 and 363.69 is: 500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.19 : 578.59 = 363.69 : x
  2. Step 2: Convert to fraction form
    420.19/578.59 = 363.69/x
  3. Step 3: Cross multiply
    420.19x = 578.59 × 363.69
  4. Step 4: Simplify right side
    420.19x = 210,428.53
  5. Step 5: Solve for x
    x = 210,428.53/420.19
  6. Step 6: Final answer
    x = 500.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.