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Finding the Fourth Proportional to 610.29, 840.47 and 435.33

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Solution

The fourth proportional to 610.29, 840.47 and 435.33 is: 599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.29 : 840.47 = 435.33 : x
  2. Step 2: Convert to fraction form
    610.29/840.47 = 435.33/x
  3. Step 3: Cross multiply
    610.29x = 840.47 × 435.33
  4. Step 4: Simplify right side
    610.29x = 365,879.63
  5. Step 5: Solve for x
    x = 365,879.63/610.29
  6. Step 6: Final answer
    x = 599.52

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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.