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Finding the Fourth Proportional to 532.90, 735.37 and 311.84

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Solution

The fourth proportional to 532.90, 735.37 and 311.84 is: 430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.90 : 735.37 = 311.84 : x
  2. Step 2: Convert to fraction form
    532.90/735.37 = 311.84/x
  3. Step 3: Cross multiply
    532.90x = 735.37 × 311.84
  4. Step 4: Simplify right side
    532.90x = 229,317.78
  5. Step 5: Solve for x
    x = 229,317.78/532.90
  6. Step 6: Final answer
    x = 430.32

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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.