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Finding the Fourth Proportional to 532.84, 735.04 and 366.77

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Solution

The fourth proportional to 532.84, 735.04 and 366.77 is: 505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.84 : 735.04 = 366.77 : x
  2. Step 2: Convert to fraction form
    532.84/735.04 = 366.77/x
  3. Step 3: Cross multiply
    532.84x = 735.04 × 366.77
  4. Step 4: Simplify right side
    532.84x = 269,588.09
  5. Step 5: Solve for x
    x = 269,588.09/532.84
  6. Step 6: Final answer
    x = 505.94

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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.