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Finding the Fourth Proportional to 419.52, 577.50 and 363.93

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Solution

The fourth proportional to 419.52, 577.50 and 363.93 is: 500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.52 : 577.50 = 363.93 : x
  2. Step 2: Convert to fraction form
    419.52/577.50 = 363.93/x
  3. Step 3: Cross multiply
    419.52x = 577.50 × 363.93
  4. Step 4: Simplify right side
    419.52x = 210,169.58
  5. Step 5: Solve for x
    x = 210,169.58/419.52
  6. Step 6: Final answer
    x = 500.98

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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.