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Finding the Fourth Proportional to 406.92, 561.14 and 307.58

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Solution

The fourth proportional to 406.92, 561.14 and 307.58 is: 424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.92 : 561.14 = 307.58 : x
  2. Step 2: Convert to fraction form
    406.92/561.14 = 307.58/x
  3. Step 3: Cross multiply
    406.92x = 561.14 × 307.58
  4. Step 4: Simplify right side
    406.92x = 172,595.44
  5. Step 5: Solve for x
    x = 172,595.44/406.92
  6. Step 6: Final answer
    x = 424.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.