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Finding the Fourth Proportional to 533.16, 800.04 and 436.80

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Solution

The fourth proportional to 533.16, 800.04 and 436.80 is: 655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.16 : 800.04 = 436.80 : x
  2. Step 2: Convert to fraction form
    533.16/800.04 = 436.80/x
  3. Step 3: Cross multiply
    533.16x = 800.04 × 436.80
  4. Step 4: Simplify right side
    533.16x = 349,457.47
  5. Step 5: Solve for x
    x = 349,457.47/533.16
  6. Step 6: Final answer
    x = 655.45

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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.