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Finding the Fourth Proportional to 532.94, 735.14 and 336.11

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Solution

The fourth proportional to 532.94, 735.14 and 336.11 is: 463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.94 : 735.14 = 336.11 : x
  2. Step 2: Convert to fraction form
    532.94/735.14 = 336.11/x
  3. Step 3: Cross multiply
    532.94x = 735.14 × 336.11
  4. Step 4: Simplify right side
    532.94x = 247,085.07
  5. Step 5: Solve for x
    x = 247,085.07/532.94
  6. Step 6: Final answer
    x = 463.63

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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.