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Finding the Fourth Proportional to 407.32, 562.10 and 289.48

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Solution

The fourth proportional to 407.32, 562.10 and 289.48 is: 399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.32 : 562.10 = 289.48 : x
  2. Step 2: Convert to fraction form
    407.32/562.10 = 289.48/x
  3. Step 3: Cross multiply
    407.32x = 562.10 × 289.48
  4. Step 4: Simplify right side
    407.32x = 162,716.71
  5. Step 5: Solve for x
    x = 162,716.71/407.32
  6. Step 6: Final answer
    x = 399.48

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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.