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Finding the Fourth Proportional to 533.05, 735.58 and 312.02

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Solution

The fourth proportional to 533.05, 735.58 and 312.02 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.05 : 735.58 = 312.02 : x
  2. Step 2: Convert to fraction form
    533.05/735.58 = 312.02/x
  3. Step 3: Cross multiply
    533.05x = 735.58 × 312.02
  4. Step 4: Simplify right side
    533.05x = 229,515.14
  5. Step 5: Solve for x
    x = 229,515.14/533.05
  6. Step 6: Final answer
    x = 430.57

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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.