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Finding the Fourth Proportional to 646.81, 892.76 and 414.34

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Solution

The fourth proportional to 646.81, 892.76 and 414.34 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.81 : 892.76 = 414.34 : x
  2. Step 2: Convert to fraction form
    646.81/892.76 = 414.34/x
  3. Step 3: Cross multiply
    646.81x = 892.76 × 414.34
  4. Step 4: Simplify right side
    646.81x = 369,899.64
  5. Step 5: Solve for x
    x = 369,899.64/646.81
  6. Step 6: Final answer
    x = 571.89

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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.