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Finding the Fourth Proportional to 405.18, 607.10 and 353.25

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Solution

The fourth proportional to 405.18, 607.10 and 353.25 is: 529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.18 : 607.10 = 353.25 : x
  2. Step 2: Convert to fraction form
    405.18/607.10 = 353.25/x
  3. Step 3: Cross multiply
    405.18x = 607.10 × 353.25
  4. Step 4: Simplify right side
    405.18x = 214,456.31
  5. Step 5: Solve for x
    x = 214,456.31/405.18
  6. Step 6: Final answer
    x = 529.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.