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Finding the Fourth Proportional to 610.08, 914.50 and 405.08

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Solution

The fourth proportional to 610.08, 914.50 and 405.08 is: 607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.08 : 914.50 = 405.08 : x
  2. Step 2: Convert to fraction form
    610.08/914.50 = 405.08/x
  3. Step 3: Cross multiply
    610.08x = 914.50 × 405.08
  4. Step 4: Simplify right side
    610.08x = 370,445.66
  5. Step 5: Solve for x
    x = 370,445.66/610.08
  6. Step 6: Final answer
    x = 607.21

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Why These Related Problems?

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