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Finding the Fourth Proportional to 429.45, 591.98 and 263.35

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Solution

The fourth proportional to 429.45, 591.98 and 263.35 is: 363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.45 : 591.98 = 263.35 : x
  2. Step 2: Convert to fraction form
    429.45/591.98 = 263.35/x
  3. Step 3: Cross multiply
    429.45x = 591.98 × 263.35
  4. Step 4: Simplify right side
    429.45x = 155,897.93
  5. Step 5: Solve for x
    x = 155,897.93/429.45
  6. Step 6: Final answer
    x = 363.02

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