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Finding the Fourth Proportional to 407.69, 562.81 and 258.39

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Solution

The fourth proportional to 407.69, 562.81 and 258.39 is: 356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.69 : 562.81 = 258.39 : x
  2. Step 2: Convert to fraction form
    407.69/562.81 = 258.39/x
  3. Step 3: Cross multiply
    407.69x = 562.81 × 258.39
  4. Step 4: Simplify right side
    407.69x = 145,420.37
  5. Step 5: Solve for x
    x = 145,420.37/407.69
  6. Step 6: Final answer
    x = 356.69

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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.