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Finding the Fourth Proportional to 406.90, 561.54 and 259.53

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Solution

The fourth proportional to 406.90, 561.54 and 259.53 is: 358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.90 : 561.54 = 259.53 : x
  2. Step 2: Convert to fraction form
    406.90/561.54 = 259.53/x
  3. Step 3: Cross multiply
    406.90x = 561.54 × 259.53
  4. Step 4: Simplify right side
    406.90x = 145,736.48
  5. Step 5: Solve for x
    x = 145,736.48/406.90
  6. Step 6: Final answer
    x = 358.16

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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.