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Finding the Fourth Proportional to 442.15, 610.42 and 302.47

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Solution

The fourth proportional to 442.15, 610.42 and 302.47 is: 417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.15 : 610.42 = 302.47 : x
  2. Step 2: Convert to fraction form
    442.15/610.42 = 302.47/x
  3. Step 3: Cross multiply
    442.15x = 610.42 × 302.47
  4. Step 4: Simplify right side
    442.15x = 184,633.74
  5. Step 5: Solve for x
    x = 184,633.74/442.15
  6. Step 6: Final answer
    x = 417.58

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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.