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Finding the Fourth Proportional to 612.45, 845.15 and 456.93

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Solution

The fourth proportional to 612.45, 845.15 and 456.93 is: 630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.45 : 845.15 = 456.93 : x
  2. Step 2: Convert to fraction form
    612.45/845.15 = 456.93/x
  3. Step 3: Cross multiply
    612.45x = 845.15 × 456.93
  4. Step 4: Simplify right side
    612.45x = 386,172.10
  5. Step 5: Solve for x
    x = 386,172.10/612.45
  6. Step 6: Final answer
    x = 630.54

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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.