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Finding the Fourth Proportional to 532.01, 733.91 and 345.67

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Solution

The fourth proportional to 532.01, 733.91 and 345.67 is: 476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.01 : 733.91 = 345.67 : x
  2. Step 2: Convert to fraction form
    532.01/733.91 = 345.67/x
  3. Step 3: Cross multiply
    532.01x = 733.91 × 345.67
  4. Step 4: Simplify right side
    532.01x = 253,687.11
  5. Step 5: Solve for x
    x = 253,687.11/532.01
  6. Step 6: Final answer
    x = 476.84

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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.