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Finding the Fourth Proportional to 454.35, 681.62 and 259.45

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Solution

The fourth proportional to 454.35, 681.62 and 259.45 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.35 : 681.62 = 259.45 : x
  2. Step 2: Convert to fraction form
    454.35/681.62 = 259.45/x
  3. Step 3: Cross multiply
    454.35x = 681.62 × 259.45
  4. Step 4: Simplify right side
    454.35x = 176,846.31
  5. Step 5: Solve for x
    x = 176,846.31/454.35
  6. Step 6: Final answer
    x = 389.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.