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Finding the Fourth Proportional to 641.94, 885.06 and 431.67

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Solution

The fourth proportional to 641.94, 885.06 and 431.67 is: 595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.94 : 885.06 = 431.67 : x
  2. Step 2: Convert to fraction form
    641.94/885.06 = 431.67/x
  3. Step 3: Cross multiply
    641.94x = 885.06 × 431.67
  4. Step 4: Simplify right side
    641.94x = 382,056.50
  5. Step 5: Solve for x
    x = 382,056.50/641.94
  6. Step 6: Final answer
    x = 595.16

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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.