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Finding the Fourth Proportional to 532.94, 735.41 and 311.87

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Solution

The fourth proportional to 532.94, 735.41 and 311.87 is: 430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.94 : 735.41 = 311.87 : x
  2. Step 2: Convert to fraction form
    532.94/735.41 = 311.87/x
  3. Step 3: Cross multiply
    532.94x = 735.41 × 311.87
  4. Step 4: Simplify right side
    532.94x = 229,347.08
  5. Step 5: Solve for x
    x = 229,347.08/532.94
  6. Step 6: Final answer
    x = 430.35

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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.