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Finding the Fourth Proportional to 407.48, 611.25 and 114.98

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Solution

The fourth proportional to 407.48, 611.25 and 114.98 is: 172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.48 : 611.25 = 114.98 : x
  2. Step 2: Convert to fraction form
    407.48/611.25 = 114.98/x
  3. Step 3: Cross multiply
    407.48x = 611.25 × 114.98
  4. Step 4: Simplify right side
    407.48x = 70,281.10
  5. Step 5: Solve for x
    x = 70,281.10/407.48
  6. Step 6: Final answer
    x = 172.48

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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.