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Finding the Fourth Proportional to 535.04, 737.88 and 360.32

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Solution

The fourth proportional to 535.04, 737.88 and 360.32 is: 496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.04 : 737.88 = 360.32 : x
  2. Step 2: Convert to fraction form
    535.04/737.88 = 360.32/x
  3. Step 3: Cross multiply
    535.04x = 737.88 × 360.32
  4. Step 4: Simplify right side
    535.04x = 265,872.92
  5. Step 5: Solve for x
    x = 265,872.92/535.04
  6. Step 6: Final answer
    x = 496.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.