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Finding the Fourth Proportional to 407.24, 611.04 and 176.02

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Solution

The fourth proportional to 407.24, 611.04 and 176.02 is: 264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.24 : 611.04 = 176.02 : x
  2. Step 2: Convert to fraction form
    407.24/611.04 = 176.02/x
  3. Step 3: Cross multiply
    407.24x = 611.04 × 176.02
  4. Step 4: Simplify right side
    407.24x = 107,552.26
  5. Step 5: Solve for x
    x = 107,552.26/407.24
  6. Step 6: Final answer
    x = 264.10

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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.