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Finding the Fourth Proportional to 532.46, 735.24 and 336.32

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Solution

The fourth proportional to 532.46, 735.24 and 336.32 is: 464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.46 : 735.24 = 336.32 : x
  2. Step 2: Convert to fraction form
    532.46/735.24 = 336.32/x
  3. Step 3: Cross multiply
    532.46x = 735.24 × 336.32
  4. Step 4: Simplify right side
    532.46x = 247,275.92
  5. Step 5: Solve for x
    x = 247,275.92/532.46
  6. Step 6: Final answer
    x = 464.40

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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.