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Finding the Fourth Proportional to 612.48, 845.29 and 360.46

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Solution

The fourth proportional to 612.48, 845.29 and 360.46 is: 497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.48 : 845.29 = 360.46 : x
  2. Step 2: Convert to fraction form
    612.48/845.29 = 360.46/x
  3. Step 3: Cross multiply
    612.48x = 845.29 × 360.46
  4. Step 4: Simplify right side
    612.48x = 304,693.23
  5. Step 5: Solve for x
    x = 304,693.23/612.48
  6. Step 6: Final answer
    x = 497.47

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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.