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Finding the Fourth Proportional to 533.53, 736.62 and 429.95

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Solution

The fourth proportional to 533.53, 736.62 and 429.95 is: 593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.53 : 736.62 = 429.95 : x
  2. Step 2: Convert to fraction form
    533.53/736.62 = 429.95/x
  3. Step 3: Cross multiply
    533.53x = 736.62 × 429.95
  4. Step 4: Simplify right side
    533.53x = 316,711.61
  5. Step 5: Solve for x
    x = 316,711.61/533.53
  6. Step 6: Final answer
    x = 593.62

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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.