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Finding the Fourth Proportional to 533.96, 801.28 and 260.16

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Solution

The fourth proportional to 533.96, 801.28 and 260.16 is: 390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.96 : 801.28 = 260.16 : x
  2. Step 2: Convert to fraction form
    533.96/801.28 = 260.16/x
  3. Step 3: Cross multiply
    533.96x = 801.28 × 260.16
  4. Step 4: Simplify right side
    533.96x = 208,461.00
  5. Step 5: Solve for x
    x = 208,461.00/533.96
  6. Step 6: Final answer
    x = 390.41

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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.