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Finding the Fourth Proportional to 505.18, 695.61 and 442.66

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Solution

The fourth proportional to 505.18, 695.61 and 442.66 is: 609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.18 : 695.61 = 442.66 : x
  2. Step 2: Convert to fraction form
    505.18/695.61 = 442.66/x
  3. Step 3: Cross multiply
    505.18x = 695.61 × 442.66
  4. Step 4: Simplify right side
    505.18x = 307,918.72
  5. Step 5: Solve for x
    x = 307,918.72/505.18
  6. Step 6: Final answer
    x = 609.52

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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.