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Finding the Fourth Proportional to 429.76, 592.54 and 363.25

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Solution

The fourth proportional to 429.76, 592.54 and 363.25 is: 500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.76 : 592.54 = 363.25 : x
  2. Step 2: Convert to fraction form
    429.76/592.54 = 363.25/x
  3. Step 3: Cross multiply
    429.76x = 592.54 × 363.25
  4. Step 4: Simplify right side
    429.76x = 215,237.19
  5. Step 5: Solve for x
    x = 215,237.19/429.76
  6. Step 6: Final answer
    x = 500.84

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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.