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Finding the Fourth Proportional to 641.34, 884.67 and 417.33

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Solution

The fourth proportional to 641.34, 884.67 and 417.33 is: 575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.34 : 884.67 = 417.33 : x
  2. Step 2: Convert to fraction form
    641.34/884.67 = 417.33/x
  3. Step 3: Cross multiply
    641.34x = 884.67 × 417.33
  4. Step 4: Simplify right side
    641.34x = 369,199.33
  5. Step 5: Solve for x
    x = 369,199.33/641.34
  6. Step 6: Final answer
    x = 575.67

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1.5x scale

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.