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Finding the Fourth Proportional to 612.30, 918.45 and 612.30

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Solution

The fourth proportional to 612.30, 918.45 and 612.30 is: 918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.30 : 918.45 = 612.30 : x
  2. Step 2: Convert to fraction form
    612.30/918.45 = 612.30/x
  3. Step 3: Cross multiply
    612.30x = 918.45 × 612.30
  4. Step 4: Simplify right side
    612.30x = 562,366.94
  5. Step 5: Solve for x
    x = 562,366.94/612.30
  6. Step 6: Final answer
    x = 918.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.