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Finding the Fourth Proportional to 356.04, 533.13 and 286.26

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Solution

The fourth proportional to 356.04, 533.13 and 286.26 is: 428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.04 : 533.13 = 286.26 : x
  2. Step 2: Convert to fraction form
    356.04/533.13 = 286.26/x
  3. Step 3: Cross multiply
    356.04x = 533.13 × 286.26
  4. Step 4: Simplify right side
    356.04x = 152,614.87
  5. Step 5: Solve for x
    x = 152,614.87/356.04
  6. Step 6: Final answer
    x = 428.64

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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.