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Finding the Fourth Proportional to 533.02, 735.64 and 346.72

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Solution

The fourth proportional to 533.02, 735.64 and 346.72 is: 478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.02 : 735.64 = 346.72 : x
  2. Step 2: Convert to fraction form
    533.02/735.64 = 346.72/x
  3. Step 3: Cross multiply
    533.02x = 735.64 × 346.72
  4. Step 4: Simplify right side
    533.02x = 255,061.10
  5. Step 5: Solve for x
    x = 255,061.10/533.02
  6. Step 6: Final answer
    x = 478.52

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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.