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Finding the Fourth Proportional to 533.58, 801.09 and 302.61

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Solution

The fourth proportional to 533.58, 801.09 and 302.61 is: 454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.58 : 801.09 = 302.61 : x
  2. Step 2: Convert to fraction form
    533.58/801.09 = 302.61/x
  3. Step 3: Cross multiply
    533.58x = 801.09 × 302.61
  4. Step 4: Simplify right side
    533.58x = 242,417.84
  5. Step 5: Solve for x
    x = 242,417.84/533.58
  6. Step 6: Final answer
    x = 454.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.