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Finding the Fourth Proportional to 661.90, 913 and 426.15

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Solution

The fourth proportional to 661.90, 913 and 426.15 is: 587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.90 : 913 = 426.15 : x
  2. Step 2: Convert to fraction form
    661.90/913 = 426.15/x
  3. Step 3: Cross multiply
    661.90x = 913 × 426.15
  4. Step 4: Simplify right side
    661.90x = 389,074.95
  5. Step 5: Solve for x
    x = 389,074.95/661.90
  6. Step 6: Final answer
    x = 587.82

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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.