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Finding the Fourth Proportional to 533.23, 801.29 and 503.16

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Solution

The fourth proportional to 533.23, 801.29 and 503.16 is: 756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.23 : 801.29 = 503.16 : x
  2. Step 2: Convert to fraction form
    533.23/801.29 = 503.16/x
  3. Step 3: Cross multiply
    533.23x = 801.29 × 503.16
  4. Step 4: Simplify right side
    533.23x = 403,179.84
  5. Step 5: Solve for x
    x = 403,179.84/533.23
  6. Step 6: Final answer
    x = 756.10

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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.