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Finding the Fourth Proportional to 612.65, 845.47 and 364.16

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Solution

The fourth proportional to 612.65, 845.47 and 364.16 is: 502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.65 : 845.47 = 364.16 : x
  2. Step 2: Convert to fraction form
    612.65/845.47 = 364.16/x
  3. Step 3: Cross multiply
    612.65x = 845.47 × 364.16
  4. Step 4: Simplify right side
    612.65x = 307,888.92
  5. Step 5: Solve for x
    x = 307,888.92/612.65
  6. Step 6: Final answer
    x = 502.55

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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.