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Finding the Fourth Proportional to 407.32, 562.62 and 290.68

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Solution

The fourth proportional to 407.32, 562.62 and 290.68 is: 401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.32 : 562.62 = 290.68 : x
  2. Step 2: Convert to fraction form
    407.32/562.62 = 290.68/x
  3. Step 3: Cross multiply
    407.32x = 562.62 × 290.68
  4. Step 4: Simplify right side
    407.32x = 163,542.38
  5. Step 5: Solve for x
    x = 163,542.38/407.32
  6. Step 6: Final answer
    x = 401.51

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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.