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Finding the Fourth Proportional to 532.84, 735.64 and 373.56

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Solution

The fourth proportional to 532.84, 735.64 and 373.56 is: 515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.84 : 735.64 = 373.56 : x
  2. Step 2: Convert to fraction form
    532.84/735.64 = 373.56/x
  3. Step 3: Cross multiply
    532.84x = 735.64 × 373.56
  4. Step 4: Simplify right side
    532.84x = 274,805.68
  5. Step 5: Solve for x
    x = 274,805.68/532.84
  6. Step 6: Final answer
    x = 515.74

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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.