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Finding the Fourth Proportional to 533.07, 735.93 and 402.66

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Solution

The fourth proportional to 533.07, 735.93 and 402.66 is: 555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.07 : 735.93 = 402.66 : x
  2. Step 2: Convert to fraction form
    533.07/735.93 = 402.66/x
  3. Step 3: Cross multiply
    533.07x = 735.93 × 402.66
  4. Step 4: Simplify right side
    533.07x = 296,329.57
  5. Step 5: Solve for x
    x = 296,329.57/533.07
  6. Step 6: Final answer
    x = 555.89

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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.